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

Aug 26, 2017

$20 {x}^{3} y + 30 {x}^{2} {y}^{2} = 10 {x}^{2} y \left(2 x + 3 y\right)$

Explanation:

Given:

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

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

$20 {x}^{3} y + 30 {x}^{2} {y}^{2} = 10 {x}^{2} y \left(2 x + 3 y\right)$

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