How do you factor $20x^3y + 30x^2y^2$ ?

Question

1921 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-26T22:43:21

$20x^3y + 30x^2y^2 = 10x^2y(2x+3y)$

Given:

$20x^3y + 30x^2y^2$

Notice that both terms are divisible by $10$ , $x^2$ and $y$ . So both terms are divisible by $10x^2y$ and we can separate that out as a factor:

$20x^3y + 30x^2y^2 = 10x^2y(2x+3y)$

Having separated out this common factor, the remaining factor is linear and has no simpler factors.

How do you factor 20x^3y + 30x^2y^220x^3y + 30x^2y^2?