Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 2046: Please help
Find the greatest common factor (GCF)
12a^2b, 18ab^2, 24a^3b^3
----------------------------------------
Factor the polynomial completely
ax – ay + bx - by
----------------------------------------
Solve
2x^2 + 5x – 12 = 0

Click here to see answer by Jessmh123(22) About Me 

Question 2139: Can this be factored and what are the factors?
__3
X - 1 (thats X cubed minus 1)
Thanks
david r.

Click here to see answer by sehar(13) About Me 
Question 2139: Can this be factored and what are the factors?
__3
X - 1 (thats X cubed minus 1)
Thanks
david r.

Click here to see answer by longjonsilver(2297) About Me 

Question 2098: when multiplying two polynomials, what fundamental property do you use repeatedly? Also, why is it necessary to study the order of operations and the laws of operations before you begin to solve equations?
Thank you!

Click here to see answer by longjonsilver(2297) About Me 

Question 2135: What is the complete factorization of 8xcubed - 27?
Click here to see answer by matthew_sessoms(39) About Me 

Question 2119: factor each polynomial completely
8vw^2+32vw+32v

Click here to see answer by matthew_sessoms(39) About Me 

Question 2231: (2x-5)(-4x)
Click here to see answer by longjonsilver(2297) About Me 

Question 2201: 1. 9(x-5)-x(x-5)=
2. ax+ay+2bx+2by=
3. ma+mb+na+nb=
Can you solve and tell me how to do these three problems on factoring?

Click here to see answer by Alex(3) About Me 
Question 2201: 1. 9(x-5)-x(x-5)=
2. ax+ay+2bx+2by=
3. ma+mb+na+nb=
Can you solve and tell me how to do these three problems on factoring?

Click here to see answer by gsmani_iyer(201) About Me 

Question 2239: How do you solve polynomial equations such as:
(x-3)(x-squaured+3x-4)=0
(x+2)(x-squared+5x+1)=0

Click here to see answer by matthew_sessoms(39) About Me 

Question 2260: I dont know how to factor out polynomials i dont know how it works could you please show me how.. Thanks
Click here to see answer by longjonsilver(2297) About Me 

Question 2304: How do you go about the process of multiplying polynomials by monomials for example.
2(n-3)+n(2-n)=2-nsquared

Click here to see answer by longjonsilver(2297) About Me 

Question 2357: whats the answer to x3+x4+x7

Click here to see answer by longjonsilver(2297) About Me 

Question 2429: what are these:
3-9(4+x)+x
8x+4(x-3)+2(x-5)

Click here to see answer by jojo2009002ojoj(2) About Me 

Question 2476: factor completely
-4w^2+7w-3

Click here to see answer by gsmani_iyer(201) About Me 

Question 2567: how do you use zero product property to solve an equation like: (x-3)(x-2)=0?
Click here to see answer by kiru_khandelwal(79) About Me 
Question 2567: how do you use zero product property to solve an equation like: (x-3)(x-2)=0?
Click here to see answer by longjonsilver(2297) About Me 

Question 2587: do u add the exponents? solve.
a^2+ b^2
+2a^2-4b^2
----------
???
thanks!!!

Click here to see answer by longjonsilver(2297) About Me 
Question 2587: do u add the exponents? solve.
a^2+ b^2
+2a^2-4b^2
----------
???
thanks!!!

Click here to see answer by kiru_khandelwal(79) About Me 

Question 2658: solve equation
x-3/5=x-3/x

Click here to see answer by kiru_khandelwal(79) About Me 

Question 2656: solve ea. proportion
m-1/m-2=m-3/m+4

Click here to see answer by kiru_khandelwal(79) About Me 

Question 2655: solving quadratic equations by factoring:
(x+5)(x+4)=0
2h^2-h-3=0

Click here to see answer by kiru_khandelwal(79) About Me 

Question 2646: Factor completely: 36(x^4)y + 12(x^3)y^2 - 15(x^2)(y^3)
Thank you
D. Scarfone

Click here to see answer by kiru_khandelwal(79) About Me 

Question 2628: How do you factor this expression 4x^2+12x+9?
Click here to see answer by kiru_khandelwal(79) About Me 

Question 2652: Please help me understand proper order of answer. (NOt sure how to do "squared" on computer, so wrote as "^2". ?????
Example: I know that the answer to 3x(x^2-4+3x) is 3x^3+ 9x^2 + 12x and is written in descending order of x power.
But what about 5m + 4 + 2x + 4mx + 7mx. Why is answer order 5m + 11mx +2x + 4
instead of putting the mx first?

Click here to see answer by longjonsilver(2297) About Me 

Question 2680: 3/4X - 2/X^2
Click here to see answer by longjonsilver(2297) About Me 

Question 2774: i'am a10TH std school girl, i'am not able to solve this particular sum in linear equations in the cross multiplication method.
sum:
2(ax-by)+a+4b=0
2(bx+ay)+b-4a=0

Click here to see answer by longjonsilver(2297) About Me 

Question 2759: (2/x) / (3x/4)= x/8
How do you solve this problem?

Click here to see answer by sujatha.krishna(11) About Me 

Question 2786: Can you please explain to me how to factor in Algebra?
Click here to see answer by WannabeCAgirl83(35) About Me 

Question 2798: Please Factor the following 4 problems

21X^4 + 18X^2 + 36X^3
3T^2 - 5T - 2T^4
-3A^10 + 9A^5 - 6A^15
9M^3 - 7M^4 + 8M^2

Thank You for your help

Click here to see answer by WannabeCAgirl83(35) About Me 

Question 2851: If someone could help me factor the problem (I don't know how to write it on a computer so I am just going to write it out long hand. Bear with me here)
A squared minus B squared minus 6B minus 9
I have tried everything and can't seem to find the answer, which is (A-B-3) (A+B+3)
It has to be something totally stupid, but I cant figure it out for the life of me.
If someone could step by step it for me I would appreciate it.

Click here to see answer by khwang(438) About Me 

Question 2736: solve
x^2+2x-6=3

Click here to see answer by xcentaur(357) About Me 

Question 2735: solve:
2+3/y-5=24/y-5

Click here to see answer by xcentaur(357) About Me 

Question 2665: What is the answer to this binomial, (x+3) (2x-5)
Click here to see answer by xcentaur(357) About Me 

Question 2660: solve for each formula for the indicated variable
F=mv^2/r for r

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Question 2951: -2ax-5ax=
Having problems with adding and/or subtracting this. What are the rules?

Click here to see answer by BestTutorEver(3) About Me 

Question 3073: I am taking college algebra online and am having problems with equations and inequalities: for example: find all real solutions by factoring:
x^3+4x^2-x-4=0
thanks
Sal

Click here to see answer by kiru_khandelwal(79) About Me 

Question 3083: I need help factoring out a common monomial.
3xy2z3+6xz2-9xyz4

Click here to see answer by thechamp1011(19) About Me 

Question 3156: divide 20x^5-8x4-5x^3 by 4x^3

please explain in detail

Click here to see answer by longjonsilver(2297) About Me 

Question 3216: How Do I Factor (a2-9)?
Click here to see answer by mixerimaythyme(7) About Me 

Question 3315: how do you find the zeros of polinomial?
Click here to see answer by longjonsilver(2297) About Me 

Question 3304: write the area of the rectangle shown below as a trinomial.(2n-5)(3n-1).
Click here to see answer by FearlessSG13(3) About Me 

Question 3328: Simplify:

Click here to see answer by ichudov(507) About Me 

Question 3389: factor:
24x^3 + 12x^2 +15x.

Click here to see answer by drglass(89) About Me 

Question 3406: can you please help me to factorize the following
1. a^2(b+c)+b^2(c+a)+c^2(a+b)+2abc
2. ab(a^2-b^2)+bc(b^2-c^2)+ca(c^2-a^2)
3. Use factor theorem to prove ;(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)=24xyz

Click here to see answer by khwang(438) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105