SOLUTION: Factor completely: {{{x^5y^3-9x^4y2+20x^3y}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely: {{{x^5y^3-9x^4y2+20x^3y}}}      Log On


   

Question 211619: Factor completely:
x%5E5y%5E3-9x%5E4y2%2B20x%5E3y
Answer by gypsy1274(9) About Me  (Show Source):
You can put this solution on YOUR website!
First separate out all common terms:
x%5E3y%28x%5E2y%5E2-9xy%2B20%29
Then factor the polynomial inside the ( ). To factor the polynomial, find two factors of 20 that add up to be -9. In this problem -4 + -5 = -9 and -4 * -5 = 20.
x%5E3y%28xy+-+4%29%28xy+-+5%29
The three factors are x%5E3y; xy-4; and xy-5.