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

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Question 631164: Please Simplify
(2a^12b^3)(-9b^2c^6)(3ac)
I have -54a^12b^5c^6ac
I don't think I have it correct.
Click here to see answer by ewatrrr(10682)

Question 631117: expand and simplify: (8+w)(2-w) (show work)

Click here to see answer by checkley79(3050)

Question 631117: expand and simplify: (8+w)(2-w) (show work)

Click here to see answer by lenny460(764)

Question 631141: (x2 + 3x + 1)(x2 + x + 2)
Click here to see answer by Tatiana_Stebko(1326)

Question 631134: Using FOIL, simplify the expression "(3x + 2)(3x - 2)." Show that a particular factoring formula leads to the same answer. I know how to use FOIL, I am not sure of another way to solve this other than foil.
Click here to see answer by richwmiller(9135)

Question 631130: Please help me solve:
6/a+2 - 1/a-3
Click here to see answer by jsmallt9(3296)

Question 631225: I need to know how to factor this Trinomial.
y^3-15y^2+54y
Click here to see answer by jim_thompson5910(28548)

Question 631225: I need to know how to factor this Trinomial.
y^3-15y^2+54y
Click here to see answer by solver91311(16877)

Question 631267: Please help me solve:
6/(a+2)-1/(a-3)
Click here to see answer by Maths68(1474)

Question 631385: What's the GCF 6x^3y^2-4x^3y-14x^2y

Click here to see answer by ewatrrr(10682)

Question 631387: Factor the sum of 2 cubes completely. 125+m^3
Is this right? (m+5)(m^2-5m+25)
Click here to see answer by AnlytcPhil(1276)

Question 631387: Factor the sum of 2 cubes completely. 125+m^3
Is this right? (m+5)(m^2-5m+25)
Click here to see answer by tutor_paul(490)

Question 631404: factor 2x^3 - 50x
Click here to see answer by solver91311(16877)

Question 631404: factor 2x^3 - 50x
Click here to see answer by ewatrrr(10682)

Question 631429: what is (3a-5)-(5a+1)?

Click here to see answer by tutor_paul(490)

Question 631432: what is (3a-5)-(5a+1)?
Click here to see answer by 55305(76)

Question 631450: F(x)= X^3-3x^2+12x-10
Find the complex zeros of the polynomial function. Write f in factored form.
Click here to see answer by ewatrrr(10682)

Question 631449: Simplify:
5 / (y + 2) - (5 - y) / 2
Click here to see answer by Tatiana_Stebko(1326)

Question 631460: I need to FRACTOR completely. The following two problems:
Problem 1) 78x^2y +48xy^2+8y^3
here is what I got ..Is it right:
72x^2y+48xy^2+8y^3
= 8y ( (3x+y) ^2)
= 8y (3x+y)^2
answer: 8y(3x+y)^2
Problem 2) 18x^2-32y^2
here is what I did to this one..
18x^2-32y^2
=2 (( 3x-4y) (3x+4y ))
=2 (3x-4y) (3x+4y) sign of the term will not change.
Are my solutions correct?
Click here to see answer by jim_thompson5910(28548)

Question 631467: completely factor the expression 4q^2+27r^4
a. 31q^2+27r^4
b. 27r^4(4q^2+1)
c. 4q(q+27r)
d. prime
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631477: completely factor the expression r^2-2r+1
a. prime
b. r(r-2)+1
c. (r-1)(r-1)
d. (r+1)(r-1)
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631469: find the product of (x-2y)^2
a. x^2+4y^2
b. x^2-4xy+4y^2
c. x^2+2xy+4y^2
d. x^2+4xy+4y^2
If you could please explain I would really appreciate it
Click here to see answer by ewatrrr(10682)

Question 631475: completely factor the expression 2a^3-128
a. 2(a-4)(a^2+4a+16)
b. 2(a^3-64)
c. prime
d. 2(a-4)^3
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631473: solve the equation 3z^3-300z=0
a. z=0
b. z=-4 and z=1
c. prime
d. z=0, z=-10
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631479: comp;etely factor the expression 7(x-y)-z(x-y)
a. (x-y)(7-z)
b. (x-y)^2(7-z)^3
c. prime
d. (x-y)(7+z)^3
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631478: perform the indicated operations on the expression
(5a^3+3a-2)-(4a^3+a^2+5)
a. a^3+a^2+3
b. a^3-a^2+3a-7
c. 20a^3+3a^2-10
d. 3a^6-7
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(28548)

Question 631470: completely factor the expression 16x^4-81y^4
a. (2x+3y)(2x-3y)(4x^2+9y^2)
b. prime
c. 0
d. (4x^2-9y^2)(4x^2+9y^2)
If you could please explain I would really appreciate it
Click here to see answer by Tatiana_Stebko(1326)

Question 631426: factor x four squared minus x 3 squared minus 12 x 3 squared
Click here to see answer by solver91311(16877)

Question 631481: simplify the expression 2ab^4-3a^2b^2-ab^4+a^2b^2
a. ab^4-2a^2b^2
b. 0
c. a^2b^8-a^2b^8-2a^4b^4
d. 2a^2b^8-3a^4b^4
If you could please explain I would really appreciate it
Click here to see answer by ewatrrr(10682)

Question 631466: find the product of -3a^3b(2a^0b^4-4a^2b^3)
A. -6b^5+14a^5b^4
b. 12a^5b^4-6a^3b^5
c. 14a^5b^4-6b^5
d. -6b^4+12a^6b^3
if you can show me how this works I would really appreciate it
Click here to see answer by Tatiana_Stebko(1326)

Question 631556: how do i find the product of (x-6)^2 would it be 6x^2?
Click here to see answer by stanbon(57290)

Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution!
Click here to see answer by richwmiller(9135)

Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution!
Click here to see answer by MathTherapy(1422)

Question 631561: find leading coefficient degree polynomial f(x) -7x^4+9x^3+1 x^2+9
Please help me solve - thanks!
Click here to see answer by Edwin McCravy(8904)

Question 631598: 5x over 8 plus 10 equals 2
Click here to see answer by Maths68(1474)

Question 631628: A person drives 390 miles on a stretch
of road. Half the distance is driven traveling 5
miles per hour below the speed limit, and half the
distance is driven traveling 5 miles per hour above
the speed limit. If the time spent traveling at the slower
speed exceeds the time spent traveling at the faster
speed by 24 minutes, find the speed limit.
Click here to see answer by mananth(12270)

Question 631633: what is (x-1)^2-9=0....in factoring,extracting the square root,completing the square,quadratic formula,graphing

Click here to see answer by Maths68(1474)

Question 631646: Have I done this problem correctly?
(q+3/4)(q+3/4)= q^2+3/4q+9/16
Click here to see answer by Maths68(1474)

Question 631646: Have I done this problem correctly?
(q+3/4)(q+3/4)= q^2+3/4q+9/16
Click here to see answer by jim_thompson5910(28548)

Question 631640: I thought I understood this, but I'm completely lost. Can you please help me to understand it?
(t4 − 2t2 + 4t − 5) ÷ (t2 − 3)
Click here to see answer by Edwin McCravy(8904)

Question 631727: solve the equation x^2+4x-45=0
a. x=15 and x=30
b. x= 9 and x=-5
c. no solution
d. x=-9 and x=5
I think its c but I just need to make sure I am doing this right
Click here to see answer by htmentor(789)

Question 631724: completely factor the expression a^2+4b-ab-4a
a. (a+b)(a-4)
b. (a-b)(a-4)
c. (a+b)(a+4)
d. prime
If you could please help me understand this ty
Click here to see answer by lenny460(764)

Question 631729: completely factor the expression 48u^4v^4-18u^2v^2-3u^8v^5
a. nonfactorable
b. 3u^2v^2(16u^2v^2-6-u^6v^3)
c. 3(16u^4v^4-6u^2v^2-u^8v^5)
d. u^2v^2(48u^2v^2-18-3u^6v^3)
I am lost on this one for some reason I cant figure it out
Click here to see answer by ewatrrr(10682)

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, 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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