Question

Factor completely 20x3y + 30x2y2.

Answer 1

Hey!

It looks like you meant: $20x^3y+30x^2y^2$
Then, we are going to change the expression, specially the exponents. The reason behind this is because we don't want anything to be cubed. Here's an example: $\:a^{b+c}=a^ba^c$
$=20x^2xy+30x^2yy$
Factor out the common term, which is $10x^2y$
$=10x^2y\left(2x+3y\right)$
Done!

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish