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

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Question 95533: I am really stumped by this problem. I keep coming up with an answer that can't be right. My final answer is always 192000000000000000000/18000000000=10666666666.666666666666666666667. This is the only problem in this section of my material that I cannot come up with. Please help me!!
The problem is (6x10^12)(3.2x10^8)/(6x10^7)(3x10^2)

Click here to see answer by stanbon(57967) About Me 

Question 95541: Simplify. (m^5)^8
Click here to see answer by Nate(3500) About Me 

Question 95542: Write using positive exponents only. b^–2
Click here to see answer by Nate(3500) About Me 
Question 95542: Write using positive exponents only. b^–2
Click here to see answer by stanbon(57967) About Me 

Question 95540: Multiply. 3xy^2(5xy – 4x + 6y)
Click here to see answer by stanbon(57967) About Me 

Question 95539: Write in descending-exponent form, and give the degree
4x^5 + x^8 – 7

Click here to see answer by stanbon(57967) About Me 

Question 95536: Simplify (4x)^2
Click here to see answer by stanbon(57967) About Me 
Question 95536: Simplify (4x)^2
Click here to see answer by checkley71(8403) About Me 

Question 95537: Simplify (4x)2
Click here to see answer by Edwin McCravy(8999) About Me 

Question 95545: Tutor could you please show me how to solve this problem?
Rewrite the middle term as a sum of two terms and then factor completely.
12w^2 + 19w + 4
I can get as far as
a = 12
b = 19
c = 4
mn = 48
m + n = 19
then I get a bit lost.
Thank you

Click here to see answer by checkley71(8403) About Me 

Question 95372: summer homework,forget how to do it- five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.thank you
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 95551: Divide. x^3+2x^2+x+12 ÷ x+3
Click here to see answer by stanbon(57967) About Me 

Question 95559: Hello!
Solve the following equations algebraically:
t^(1/2)-2t^(1/4)-3=0
I have worked this problem to a certain point. I am stuck and cannot get past.
Here is my work:
I made u equal t^(1/4)
u^2-2u-3=0
factors out to be u=1, -3
Here is where I am stuck.
Any help will be greatly appreciated.

Click here to see answer by stanbon(57967) About Me 

Question 95578: Can you please help me by showing me how to simplify this.
((3x^a y^b)^3/ (-3x^a y^b)^2 )^2
I am not sure if I am writing this properly. The problem is written as a fraction and the entire problem is squared.

Click here to see answer by checkley71(8403) About Me 
Question 95578: Can you please help me by showing me how to simplify this.
((3x^a y^b)^3/ (-3x^a y^b)^2 )^2
I am not sure if I am writing this properly. The problem is written as a fraction and the entire problem is squared.

Click here to see answer by stanbon(57967) About Me 

Question 95456: Simplify the rational expression
21-7x/18-6x

Click here to see answer by checkley71(8403) About Me 

Question 95566: Can the expression (2x-1) be simplified?
Click here to see answer by edjones(7569) About Me 

Question 95553: (t^3-3t^2+5t-6)/(t-2)
Click here to see answer by stanbon(57967) About Me 

Question 95596: Good Evening Tutor,
I am not sure how to solve this problem can you help?
Factor each polynomial completely. Begin by stating which method should be applied as the first step. Then continue by factoring each polynomial completely.
2p - 6q + pq -3q^2
I would group terms correct?
I get (2p - 6q) + (pq - 3q^2) but I am not sure this is correct. Could someone please show me how to solve? Thank you.

Click here to see answer by stanbon(57967) About Me 

Question 95598: Can you help me tonight with this problem?
Find all positive values for k for which each of the following can be factored.
x^2 + x - k
Thanks for your help.

Click here to see answer by stanbon(57967) About Me 

Question 95597: Tutor,
Good evening I am have difficulties with this problem could you help me?
Solve each of the following quadratic equations.
4x^2 = 13x + 12
I am so confused on how to solve this problem. Thanks in advance for your help.

Click here to see answer by stanbon(57967) About Me 
Question 95597: Tutor,
Good evening I am have difficulties with this problem could you help me?
Solve each of the following quadratic equations.
4x^2 = 13x + 12
I am so confused on how to solve this problem. Thanks in advance for your help.

Click here to see answer by edjones(7569) About Me 

Question 95465: Perform the indicated operation. Simplify if possible.
42/7x + 40/8x

Click here to see answer by edjones(7569) About Me 

Question 94163: please help me factor this problem
6x^2 + 13x - 5

Click here to see answer by kiljoy(51) About Me 

Question 95615: Simplify the complex fraction. Please help to solve this problem i have a few others like it. %28w%2B3%29%2F%284w%29/%28w-3%29%2F%282w%29
Click here to see answer by stanbon(57967) About Me 

Question 95617: Science and medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula
Rr=+1%2F%281%2FR1%2B1%2FR2%29 Simplify the formula.
Could some one please help me I am completely lost on this one.

Click here to see answer by stanbon(57967) About Me 
Question 95617: Science and medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula
Rr=+1%2F%281%2FR1%2B1%2FR2%29 Simplify the formula.
Could some one please help me I am completely lost on this one.

Click here to see answer by edjones(7569) About Me 

Question 95614: Solve and check. Not really understanding this. x%2F%28x-2%29-%28x%2B1%29%2F%28x%29=%288%29%2F%28x%5E2-2x%29 Could someone please show me how to solve this correctly?
Click here to see answer by stanbon(57967) About Me 

Question 95613: Please help me need some help on these equations. %28x%2F6%29-%28x%2F8%29=1
how do i slove this correctly?

Click here to see answer by stanbon(57967) About Me 

Question 95612: I have no clue how to solve this problem would you please show me how?
Factor completely
9x^2 + 12xy + 4y^2 - 25
Thank you I am stuck.

Click here to see answer by stanbon(57967) About Me 

Question 95611: If I could get some help with this problem I would appreciate it.
Factor each of the following trinomials completely.
2a^3 - 52a^2b + 96ab^2
I keep coming up with something strange I know it is not correct. Help please?

Click here to see answer by stanbon(57967) About Me 

Question 95620: Please help me to solve this equation I cant seem to get it figured out.
Solve for x
2%2F5=%28x-2%29%2F20

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 95619: Solve and check for x.
5%2F%28x%2B6%29%2B2%2F%28x%5E2%2B7x%2B6%29=3%2F%28x%2B1%29
Could someone show me how to solve this equation, Please.

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 95672: The square of a number added to the original number is 72.
Determine all possible values of the number.

Click here to see answer by checkley71(8403) About Me 

Question 95669: Determine the solutions for the following polynomial.
9x^5 - 21x^4 = 0

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Question 95622: I have a question. I am supposed to find the GCF of each product.
(6y^2 - 3y) (y + 7)
I got 3y (3y + 7) when I worked it out but I am not showing a GCF could you please help me with this problem? Thanks

Click here to see answer by checkley71(8403) About Me 

Question 95618: Science and medicine. Fungicides account for 1%2F10of the pesticides used in the United States. Insecticides account for 1%2F4of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written %281%2F10%29/%281%2F4%29 Not really sure how to solve this problem could someone please help me?
Click here to see answer by checkley71(8403) About Me 

Question 95721: Determine the solutions for the following polynomial equation. Use decimal approximations accurate to two decimal places if necessary.
3x^2 - 19x - 7 = 0

Click here to see answer by checkley71(8403) About Me 

Question 95720: Determine the solutions for the following polynomial.
32x^6 - 32x^5 = 0

Click here to see answer by checkley71(8403) About Me 

Question 95765: I am having difficulty with this problem could you please help?
Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
m^4 - 9n^4
I am not sure if I start with GCF or trial and error, when I use these methods I am not sure the solving is correct either. Could you please help me to understand this problem? Thank you.

Click here to see answer by tutorcecilia(2152) About Me 

Question 95843: Solve the equation.
x/2 + 8x/9 = x/18

Click here to see answer by edjones(7569) About Me 
Question 95843: Solve the equation.
x/2 + 8x/9 = x/18

Click here to see answer by checkley71(8403) About Me 

Question 95844: I need help to solve this equation
1/y+5 - 8/y-5 = 11/y^2-25

Click here to see answer by Earlsdon(6294) About Me 

Question 95829: c2-64

Click here to see answer by checkley71(8403) About Me 

Question 95846: I need help to solve this equation
1/x+5 + 3/x+4 = -1/x^2+9x+20

Click here to see answer by edjones(7569) 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