SOLUTION: {{{x^5y^3 – 9x^4y^2 + 20x^3y}}} please help me factor this out

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{x^5y^3 – 9x^4y^2 + 20x^3y}}} please help me factor this out      Log On


   

Question 225077: x%5E5y%5E3+%96+9x%5E4y%5E2+%2B+20x%5E3y
please help me factor this out
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
GCF is x%5E3y
x%5E3y%28x%5E2y%5E2-9xy%2B20%29
Factor what's left in the parentheses:
x%5E3y%28xy-5%29%28xy-4%29
The End. Enjoy.
:-)
Okay, the answer to the next one:
3x%5E2+%2B+23x+%96+36
I used the ever so fun AC method. Take the A term (3) and the C term (36), multiply them together and find a factoring that adds to give you 23.
So, 3*36=108.
A factor of 108 is 27*4.
If we have a positive 27 and a negative 4, we can get to 23. (27-4=23).
So, we rewrite the middle term and our equation becomes:
3x%5E2%2B27x-4x-36
Then we factor by grouping:
3x%28x%2B9%29-4%28x%2B9%29
Pull out the common factor %28x%2B9%29 gives us:
%283x-4%29%28x%2B9%29
Hope that helps.
:-D