# How do you factor: y= 10x^3 + 20x^2 ?

Jun 29, 2016

y = 10x^2(x + 2) OR $y = \left(5 x\right) \left(2 x\right) \left(x + 2\right)$

#### Explanation:

First look for numbers and variables that can be divided out of both terms.

$y = 10 {x}^{3} + 20 {x}^{2}$

Just from taking a look at the equation, we can tell that we can divide a $10$ and ${x}^{2}$ from both terms, and these are the highest values we can take out. Let's write this out:

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

And there you have it! This is the factored out form of the original equation.

Note that it is possible to take out more factors, for example:

$y = \left(5 x\right) \left(2 x\right) \left(x + 2\right)$