SOLUTION: Hello, i m having a really hard time how to factor these polynomials. It would be much appreciated if you could solve all of these :) FIND THE FACTORS OF THE FOLLOWING POLYNOMIA

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Question 1038094: Hello, i m having a really hard time how to factor these polynomials. It would be much appreciated if you could solve all of these :)
FIND THE FACTORS OF THE FOLLOWING POLYNOMIALS
[6(m+n)^2(p+q)^3]+[12(m+n)^3(p+q)^2]-[24(m+n)(p+q)^3]
[15x^3(x+y)^2]-[30x^2(x+y)]-[45x(x+y)^4]
[(a+x)^m+1(b+x)^n-1]-[(a+x)^m(b+x)^n]
[x(a-b)^2n]+[y(b-a)^2n+1]


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
FIND THE FACTORS OF THE FOLLOWING POLYNOMIALS
[6(m+n)^2(p+q)^3]+[12(m+n)^3(p+q)^2]-[24(m+n)(p+q)^3]
------
greatest common factor:: 6(m+n)(p+q)^2
Ans:: 6(m+n)(p+q)^2[(m+n)(p+q)+2(m+n)^2-4(p+q)]
-----------------------------------
[15x^3(x+y)^2]-[30x^2(x+y)]-[45x(x+y)^4]
gcf:: 15x(x+y)
Ans:: 15x(x+y)[x^2(x+y) - 2x - 3(x+y)^3]
--------------------
[(a+x)^m+1(b+x)^n-1]-[(a+x)^m(b+x)^n]
gcf:: (a+x)^m*(b+x)^(n-1)
Ans: (a+x)^m*(b+x)^(n-1)[1-(b+x)]
=========================================
[x(a-b)^2n]+[y(b-a)^2n+1]
Rewrite::
[x(a+b)^(2n)] - [y(a-b)^(2n+1)]
gcf:: (a+b)^(2n)
Ans: (a+b)^(2n)[x - y(a-b)]
====================
Cheers,
Stan H.
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