SOLUTION: Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible.      Log On


   



Question 111454: Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible.
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial 35x^6 y^6 + 28x^3 y^4 - 7x^5 y^3, if possible.
When factoring it is sometimes easier to see if you write everything out;
Lets start by writing each term out;
35x%5E6y%5E6= 35(x*x*x*x*x*x)(y*y*y*y*y*y)
28x%5E3+y%5E4= 28(x*x*x)(y*y*y*y)
7x%5E5+y%5E3=7(x*x*x*x*x)(y*y*y)
Now lets cross out all commons;
Now each term has at least 3 x's and 3 y's;



so we are left with;
35x%5E3y%5E3
28y
7x%5E2
we need to find the GCF between 7,28,35; which is 7;
so we are going to factor out 7x%5E3y%5E3
7x%5E3y%5E3%285x%5E3y%5E3%2B4y-x%5E2%29
:)