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

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Question 101415: Factor the expression:
x^64 - y^64
Click here to see answer by edjones(7569)

Question 101369: I need help with a question from a textbook please help i'm desperate. "rewirte each expression without using multiplacation or addition signs." 6g+g+g. please explain. =)
Click here to see answer by scott8148(6628)

Question 99787:
Click here to see answer by edjones(7569)

Question 101398: The following are from the Compass sample test.
Algebra Placement
Linear equations
15.What is the slope of the line with the equation 2x+3y+6=0
Please explain how to get to the answer of -2/3
16. Point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB?
Please explain how to get to the answer of (8,1)

Click here to see answer by doukungfoo(195)

Question 101511: Can someone please help me factor this problem completely?
x^10y^3 - 4x^9y^2 - 21x^8y?????
Here is what I have as my attempt, but am not sure I am even correct with what I have..
Simplify:
x^10y^3 - 36xy^2 - 168xy
x^10y^3 - 72xy - 168xy
Combine like terms:
72xy + 168xy = 240xy
240xy* x^10*y^3=?
This problem was given to me by my college Professor, but it is not from our textbook. Thanks. Below are additional directions from Professor:
**Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).**

Click here to see answer by bucky(2189)

Question 101585: I have tried this using our book and I just don't udestand the process. My teacher is of no help, she just keeps pointing me to our book.
Factor each polynomial completely.
a) x^3y+2x^2y^2+xy^3
b) -4w^3-16w^2+20w
c) 3x^2 – 17x + 10
Thank you so much for any help you can provide me with. :)
d) -36a^2b + 21ab^2 – 3b^3
Click here to see answer by ptaylor(2048)

Question 101639: A) Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.
X^3 + 2x^2 – 5x – 6, x+3

B) Factor each difference or sum of cubes.

U^3 – 125v^3

C) Factor each polynomial completely. If a polynomial is prime, say so.

1) 32a^2 + 4a -6

2) 9bn^3 + 15bn^2 – 14bn
Any help would be greatly appreciated. I need to figure these out so I can finish my project. Thank you so much. Step by step explanations would be even better, so I can learn how to do this on my own.
Click here to see answer by stanbon(57282)

Question 101217: Do the operations and simplify:
2x 2x x
____________ plus _________ minus ________
x^2 - 3x + 2 x-1 x- 2
Click here to see answer by stanbon(57282)

Question 101686: Factor the polynomial completely. If the polynomial cannot be factored, choose prime
7x^2 - 9x - 10
Click here to see answer by scott8148(6628)

Question 101674: Solve the quadratic equation.
4x^2 = 13x + 12
Please help! I broke it down into (2x-12)(2x+1) but using the FOIL method, it turns out to be -20x instead of -13x. Please help! Thanks!
Click here to see answer by scott8148(6628)

Question 101666: I tried every way imaginable to solve this problem but have had no luck. Please help! Factor completely.
9x^2 + 12xy + 4y^2 - 25

The 25 is what is throwing me off. There are no like terms from the 25 to go with the other parts of the expression. Please explain! Thanks!
Click here to see answer by scott8148(6628)

Question 101869: How do you solve
Click here to see answer by Fombitz(13828)

Question 101869: How do you solve
Click here to see answer by edjones(7569)

Question 101872: How do you solve

Click here to see answer by edjones(7569)

Question 101874: How do you solve
divided by
Click here to see answer by Fombitz(13828)

Question 101874: How do you solve
divided by
Click here to see answer by edjones(7569)

Question 101881: How do you solve?
divided by
Click here to see answer by edjones(7569)

Question 101878: How do you solve
+
Click here to see answer by doukungfoo(195)

Question 101887: Hello Im confused on how to solve this equation, Please help.
solve for t.
Click here to see answer by edjones(7569)

Question 101889: How do you solve for m.

Click here to see answer by iamsofly12(2)

Question 101892: Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n.
I;m confused with the question. ANy help would be appreciated.
Click here to see answer by edjones(7569)

Question 101885: HELP ME PLEASE I DO NOT UNDERSTAND HOW TO SOLVE THIS
Solve for t.
Click here to see answer by edjones(7569)

Question 101882: PLEASE HELP ME WITH THIS EQUATION!!
What are the excluded values of n in the expression *
Click here to see answer by edjones(7569)

Question 101903: Factor the polynomial completely. If the polynomial cannot be factored, choose prime
7x^2 - 9x - 10
Click here to see answer by checkley75(3666)

Question 101890: How do you write an equation for the relation in the chart ??
x -2 0 2 4
y 9 5 1 -3
Click here to see answer by scott8148(6628)

Question 101883: How do you solve for y.
Click here to see answer by scott8148(6628)

Question 101863: How do you find all values of k so that can be factored using integers.
Click here to see answer by scott8148(6628)

Question 101858: please help me factor the following trinomial
16x^2+40xy+25y^2
Thank you for your help.
Click here to see answer by scott8148(6628)

Question 102023: kindly help me with these problems. please answer these and show the solutions. thank you
1. x/77x-121y - y/49x-77y
2. a/6a-9b - b/4a-6b
Click here to see answer by stanbon(57282)

Question 101876: How do you solve
*
Click here to see answer by ankor@dixie-net.com(15645)

Question 102132: we are studying this now so i figured this questions corresponds to it. here it is
1. pick any number
2. double it
3. add 15
4. add original number
5. divid by 3
6. subtract original number
7. your answer is 5 why is that
the teacher wanted the answer inn an algebriac expression this is what i came up with.
x(2)+15+x
_________ - x =5
3
3x+15 - x =5
-----
3
x+5-x=5
5=5
this is why i did it. i wrote the problem out step by step then once i got the equation, i solved the problem step by step. when i say step by step i did #1 first, #2 second and so on. then i combined liked terms ( the x's) and they cancelled out which makes 5=5 a true statement.
but my question is, is this how you do this problem or did i do something wrong. if i did, what was it. please help.
Click here to see answer by Fombitz(13828)

Question 102122: How do you find all values of k so that can be factored using integers?
Click here to see answer by Fombitz(13828)

Question 102120: How do you solve
Click here to see answer by checkley75(3666)

Question 102071: For 5x – 2y = 4, find y given x = 2. Match your result to the correct answer below.
Click here to see answer by Kalmetam(43)

Question 102144: How do i solve this system of equation ?
Click here to see answer by stanbon(57282)

Question 102110: find the x-intercepts
y = x^2 + x - 6
Click here to see answer by jim_thompson5910(28536)

Question 102194: Explain how to find the vertex of a parabola. What is the significance of the vertex?
Click here to see answer by stanbon(57282)

Question 102210: Use the power rule to simplify.
(x^6)^7
Click here to see answer by mathemanic(13)

Question 102215: Perform the indicated operations
(3x-7)-(x+5)

Click here to see answer by checkley75(3666)

Question 102208: Factor the polynomial completely. If the polynomial cannot be factored, choose prime.
x^2 - x - 6
Click here to see answer by checkley75(3666)

Question 102197: (x-2)(x-5)<0
Click here to see answer by checkley75(3666)

Question 102188: what happens to y if y is inversely proportional to x, and x is tripled?
Click here to see answer by stanbon(57282)

Question 102211: Perform the indicated operations. Simplify if possible.
42/7x + 40/8x
Click here to see answer by edjones(7569)

Question 102313: Simplify the rational expression
x^2-7x+12/x^2-16
Click here to see answer by edjones(7569)

Question 101421: Hello Tutors,
I am having trouble with the following problem. I have written some of my work and thoughts on this question out. Thank you very much for your attention and time in helping me!
---
1. A polynomial F, when divided by (x - 1), gives the remainder R1 = 2. The same polynomial F, when divided by (x + 1) gives the remainder R2 = 4. Find the remainder when F is divided by . (Hint: Write the division statement when F is divided by )
My work:
The division statement:

Click here to see answer by Fombitz(13828)

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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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