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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 68299: Please help me add this equation:
Click here to see answer by rmromero(383)

Question 68303: Please help me simplify this equation:
Click here to see answer by rmromero(383)

Question 68318: I do not understand how they got the answer for this problem.
3
The answer is
Please break it down for me.
Thank you for your time.

Click here to see answer by ankor@dixie-net.com(15656)

Question 68307: Please help me solve for R for this equation:
Click here to see answer by ankor@dixie-net.com(15656)

Question 68361: please help to solve by factoring
-5x - 6 = -6x^2
Click here to see answer by checkley71(8403)

Question 68352: Add or subtract as indicated. Simplify the result if possible.
4 8
-------- - ---------
2x + 1 2x + 1

Click here to see answer by checkley71(8403)

Question 68367: Please help to factor
x^3y^3 - 64
Click here to see answer by CrazyMan Jr.(21)

Question 68367: Please help to factor
x^3y^3 - 64
Click here to see answer by rmromero(383)

Question 68311: I do not understand how they got the answer for this problem.
(x+h)^3
The answer is (x^3+3x^2h+3xh^2+h^3)
Please break it down for me.
Thank you for your time.
Click here to see answer by checkley71(8403)

Question 68396: Hi. Thanks in advance. I can't get the solution to this. I have a work/rate word problem. Bill can do a job 20 minutes faster than Joe. If it takes both of them to do the whole job in 60 minutes, how long does it take Joe alone?
First, Joe's rate is 1/x and Bill's rate is 1/x-20.
What I came up with was this: 1 job = 1/x(60) + 1/x-20(60), which is really 1 job = 60/x + 60/x-20.
When I multiply both sides by the LCD, I get x(x-20) = 60x -120 + 60x.
Then I get x^2 + 20x = 120x - 120. After that, I know I goofed, cause I get x^2 = 140x -120, and the only way to solve that is to take the square root. I'm pretty sure the answer doesn't involve a square root.
Where do I go wrong?
Click here to see answer by stanbon(57374)

Question 68302: Please help me divide this equation:
Click here to see answer by rmromero(383)

Question 68300: Please help me factor this equation:
Click here to see answer by rmromero(383)

Question 68479: We are reviewing division of polynomials in trigonometry, and for homework we have to use both long and synthetic division. One of the long division problems is (50a^2-98b^2)/(10a+14b).
I know you have to include placeholders for missing degrees, but I'm not sure how many placeholders I need because the teacher did not show us how to do long division with more than one variable.
I think it would be, showing what the placeholder is for, (50a^2+0a+0ab+98b^2+0b)/(10a+14b), but I'm not entirely sure. Is this correct and if not, how do I figure it out?
Click here to see answer by stanbon(57374)

Question 68499: The sum of three consecutive odd integers is 201. Find the integers.
I am having a hard time trying to find the intergers to this one, and needing help. Thanks
Click here to see answer by stanbon(57374)

Question 68547: I forgot how to do these. Can you please help. I believe you start with finding the common denomitor but I get lost after that.
xyz^0 - 7x^2y^2 + 2x^3x^-2yz^-2 + 5xy^-1y^0
----- ------- ------------- ---------
z xyz z^-1x^0 zy^-2
is the common denominator x^2y^2z
thank you
Click here to see answer by stanbon(57374)

Question 68501:
Click here to see answer by funmath(2925)

Question 68595: Please help to Factor completely
-3ax^2p + 24pa + 6axp
Click here to see answer by funmath(2925)

Question 68648: Please help me add this equation:
Click here to see answer by rmromero(383)

Question 68650: Please help me simplify this equation: {{ (5-(1/(a+1))/3+(2/(a+1)) }}}
Click here to see answer by rmromero(383)

Question 68637: How do you factor this? 2x^2+13x+15 Somehow I'm stuck.
Click here to see answer by checkley71(8403)

Question 68649: Please help me reduce this equation:
Click here to see answer by rmromero(383)

Question 68649: Please help me reduce this equation:
Click here to see answer by ptaylor(2048)

Question 68696: Please help me understand what I am doing wrong here! thanks!:
7x+3(2x+5)=10x+17
7x+6x+15=10x+17
13x+15=10x+17
-15 -15
13x=10x+2
-10 -10
ok now I am stuck! what do I do next? thank you !
Click here to see answer by checkley71(8403)

Question 68689: hello. here is my problem: "SOLVE: The difference if two consecutive odd positive integers is 40. Find the integers." well, in my book it has the answer, but i don't understand how to get it. I would really appreciate it if you could help me. I have used this site before and i haven't ever gotten a reply, but hopefully it will be different this time.
Click here to see answer by ankor@dixie-net.com(15656)

Question 68646: Please help me add this equation:
Click here to see answer by rmromero(383)

Question 68687: PLEASE I NEED HELP ON THIS PROBLEMS: (3X^2-6)^2=
X^4-16=
(X+7)(X+9)=
X^2+14X+33=

Click here to see answer by stanbon(57374)

Question 68647: Please help me divide this equation:
Click here to see answer by rmromero(383)

Question 68645: Please help me solve for I for this equation: .
Note the I1 (has a number 1 at the bottom right hand corner and the I2 has the number 2 on the right hand corner.)

Click here to see answer by rmromero(383)

Question 68754: (X+Y)3rd power=(X+Y)(X+Y)(X+Y)
=(X+Y) (X 2nd power +2XY +Y 2nd power)
Click here to see answer by venugopalramana(3286)

Question 68789: solve the equation.
29 = -27 + n
Click here to see answer by checkley71(8403)

Question 68797: We are supposed to factor polynomial. They say:
(x^2+y^2)^2-(y^2-z^2)^2 should equal (x^2+z^2)(x^2+2y^2-z^2).

Click here to see answer by stanbon(57374)

Question 68787: simplify the expression. Write the result using positive exponents only.
8^-1 + 6^-1
Click here to see answer by jim_thompson5910(28595)

Question 68834: Directions: Solve each of the following quadratic equations.
Problem# 24
4x^2 = 13x +12

Directions: Solve the following problem
Problem# 48
Geometry. If the sides of a square are decreased by 2cmm the area is decreased by 36cm^2. What were the dimensions of the original square?
Click here to see answer by checkley71(8403)

Question 68826: Please help me solve for x for this equation: .

Click here to see answer by ankor@dixie-net.com(15656)

Question 68829: Please help me simplify for this equation: .
the 3 is small outside on the left of square root of 64a^6b^15c^3
Click here to see answer by rmromero(383)

Question 68861: I don't know how to work this problem. Help

Click here to see answer by Edwin McCravy(8909)

Question 68821: Please help me solve for x for this equation: .

Click here to see answer by ankor@dixie-net.com(15656)

Question 68828: Please help me simplify for this equation: .
the 5 is small outside on the left of square root of 32x^5z^10
Click here to see answer by rmromero(383)

Question 68822: Please help me simplify for this equation: .
The 3 is small outside to the left of square root of 8a^12

Click here to see answer by rmromero(383)

Question 68822: Please help me simplify for this equation: .
The 3 is small outside to the left of square root of 8a^12

Click here to see answer by ankor@dixie-net.com(15656)

Question 68830: Directions: Use the ac test to determine which of the following trinomials can be factored. Find the values of m and n for each trinomial that can be factored.
Problem#22
x^2+2x-15
Problem#24
x^2-3x+7
Directions: Rewrite the middle term as the sum of two terms and then factor completely.
Problem# 68
12w^2+19w+4
Problem# 100
4z^3-18z^2-10z
Click here to see answer by stanbon(57374)

Question 68895: Help!!Is my solution correct?
If not, please let me know where I went wrong?
x^2-5x-14 divided by 4-x^2
My solution is 1-1 (x^2 - 4)
thanks a bunch!!!
Click here to see answer by rmromero(383)

Question 68786: Factor by grouping
18a^3 - 24a^2b + 15ab^2 - 20b^3
Click here to see answer by rmromero(383)

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