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

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Question 99368: This problem is from the textbook Hutchison Beginning Algebra. It's an online book, so I do not have the ISBN number
I need help factoring the following please:
a^2(b - c) - 16b^2(b - c)
Thank you!

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

Question 99338: Evaluate the following
sqrt (4 / 25 )

Click here to see answer by timmy1729(23) About Me 

Question 99402: x^2=5x+3
Click here to see answer by edjones(7569) About Me 

Question 99424: Please help. I've been working on trying to solve by setting up a polynomial expression, but having trouble with this one.
If the sides of a square are decreased by 2 cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?
Thanks in advance.

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

Question 99454: Could I get some help with this problem?
A Plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Thank you

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

Question 99487: I am supposed to simplify this problem and I am not sure I have done it correctly.
2+2/5 / 2-1/2
is the answer 8/5?

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

Question 99505: factoring 9x^2 + 18x -16
Click here to see answer by stanbon(57984) About Me 

Question 99548: Tutor,
I was wondering if you could tell me whether I solved this problem correctly.
add and simplify:
3y/y^2 + 5y +4 + 2y/y^2 -1 I got: 5y/(y+1)(y-4) is this correct?
Thank you for your help.

Click here to see answer by stanbon(57984) About Me 

Question 99547: Tutor,
I am so lost on this problem and I am not sure what I am doing wrong could you explain to me how to solve this problem?
Simplify:
3/x-5+1 / 1- 4/x-5
I am so confused so any help is appreciated. Thank you for your help.

Click here to see answer by stanbon(57984) About Me 

Question 99546: I have two questions I am not sure I solved correctly could you possibly help me and tell me if I solved these both correctly? Thank you.
add and simplify:
1.) x^2/x+10 + 9x-10/x+10 I got x + 9 is this correct?
substract and simplify:
2.) y-2/y+3 - y/2y+6 I got y-4/2(y+3) is this correct?
Thank you in advance for your help.

Click here to see answer by bucky(2189) About Me 

Question 99549: Tutor,
I was wondering if I solved these problems correctly would you be able to help me?
1.) Solve: x/(5x+10) + (x-3)/(x+2) = 7/5 is the answer -17 ?
2.) write in simplest form: x^2 - 12x + 27 / x^2 - 81 is the answer x+3/x-9?
I am not sure I solved these correctly so any help is appreciated. Thank you.

Click here to see answer by bucky(2189) About Me 

Question 99573: real or imaginary solutions to x-1/x+2=2x-3/x+4
Click here to see answer by jim_thompson5910(28717) About Me 

Question 99576: x^3-4x^2-3x+12=
Click here to see answer by jim_thompson5910(28717) About Me 

Question 99574: b(a-7)-3(7-a)=

this question isnt from the text book its from a handout the professor gave.
Thank you

Click here to see answer by jim_thompson5910(28717) About Me 

Question 99467: Evaluate 3 sqrt -8/27
Click here to see answer by elima(1433) About Me 

Question 99585: c=√(a^2+b^2 )solve for "a"
Does anyone know how to figure out for "a" instead of "c"? Help please, and thank you so much!!

Click here to see answer by jim_thompson5910(28717) About Me 

Question 99578: 2/x+2/x-1=1
Click here to see answer by jim_thompson5910(28717) About Me 

Question 99461: I am suppose to add and express in the simplest form.
x-13/x^2-x-12 + 3x-3/x^2-x-12
Could you tell me if I have this correct I got: 4 / x - 4
Is this correct? Thank you for your help.

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 99480: Tutor,
Could I get some help with this problem? I am having difficulty solving it.
x/5x + 10 + x-3/x+2 = 7/5
Thank you for your help.

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 99605: y^2-9y+81=
Click here to see answer by stanbon(57984) About Me 

Question 99468: Use Property 1 to simplify the following radical expressions. Assume that all variables represent positive real numbers.
sqrt(50)

Click here to see answer by Adam(64) About Me 

Question 99598: i did this problem but i dunno if it is correct can you please check it for me
12xy^3-4x^2y^2=

4xy.3y-4xy^2.2=0
4xy^2(3y-N)=0
4xy^2=0
xy^2=01y

xy=0 and y=0 3y=x
y=x
=3


Click here to see answer by stanbon(57984) About Me 

Question 99502: 6x^2 - 28x - 48 Factoring
Click here to see answer by elima(1433) About Me 

Question 99503: Factoring 2x^2 - 7x -4
Click here to see answer by elima(1433) About Me 

Question 22202: How many commitees of 4 students can be formed from a class of 15 students?
Click here to see answer by Adam(64) About Me 

Question 99641: (7x2+x+1)-(3x2-4x-3)
Click here to see answer by checkley71(8403) About Me 

Question 99628: how do i solve this problem b(a-7)-3(7-a)=
all i done so far is:
b(a-7)+3(a-7)
(b+3)(a-7)

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

Question 99634: Could someone please help me with this expression. I have tried but dont think I am doing it correctly.
sqrt45x%5E4 Simplify and assume x represents a positive number.

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

Question 99716: i need help with this problem can you please show me how you would solve it and its solution thank you

3a^2y^2-6a^2y+21a^2

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

Question 99715: i did this problem but still am having trouble can you please slove it for me with the work shown thank you

y^2-11y+30=




this is the work ive done so far:
y^2-6y-5y+30=0
y(y-6)-5(y-6)=0
(y-5)(y-6)=0
product =30y^2
sum= 11y
-6yx-5y=30
-6y-5y=+1y

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

Question 98910: Could someone please show me how to solve this expression correctly? I am not getting the correct answer.
x+SQRT+18+-+3+SQRT8x%5E2

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

Question 99741: Factor completely using integer coefficients:
e) x^4+8x^3-2x^2-16x
f) 2x^6-20x^4-16x^3+160x
j) x^4-x^3-x+1

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

Question 99784: How do you solve +sqrt%283n-2%29%2B6=10+ ??
Click here to see answer by Adam(64) About Me 

Question 99838: I am having problems trying to solve this vertically. I know the anwser is
6w^2-2w+2. When I try to solve vertically I can not see how this works.

Add, using the vertical method.2w^2+7,3w-5and4w^2-5w
Thank you for your help,

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

Question 99840: Can you please help?

x represents the number and then write an expression for the product.What is the product of 6 more than a number and 6 less than that number.

Thank you

Click here to see answer by stanbon(57984) About Me 

Question 99914: can you please show me the steps on solving this problem and its answer thank you tutor =)
8x^2-47x-6=

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

Question 99913: can you please show me the steps on solving this problem and its answer thank you tutor =)
ab^3-5ab^2-36ab=

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

Question 99996: (x+5)(x-6)=
(m+4)(m-2)=
(4a+5)(2-4a)=
(p-q)(2p+3q)=

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

Question 100063: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
My initial response is: 3/5x-1/2x+1=3. I know its wrong but I can't find any help in this text book.

Click here to see answer by edjones(7569) About Me 
Question 100063: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
My initial response is: 3/5x-1/2x+1=3. I know its wrong but I can't find any help in this text book.

Click here to see answer by scott8148(6628) About Me 

Question 100129: Factor completely using integer coefficients:
g)x^4-16x^2+36
h)4x^3-8x^2-25x+50
i)36x^2-x^4-100
K)x^5-2x^4-x^3+2x^2-12x+24
L)5x^6+15x^5-50x^4-80x^2-240x+800

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

Question 100142: Factor 1 -a^8
Click here to see answer by checkley71(8403) About Me 

Question 100185: Factor.
7t-21w-wt+3w^2

Click here to see answer by josmiceli(9819) About Me 

Question 100186: Write the product below in the simplest form without parentheses.
(y+1)(y-2)

Click here to see answer by checkley71(8403) 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, 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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, 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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, 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