# How do you simplify (5y^2-20)/(y^2+4y+4)?

Mar 29, 2018

$\setminus \frac{5 \left(y - 2\right)}{\left(y + 2\right)}$

#### Explanation:

Expand the numerator... (you'll see why soon)

$5 {y}^{2} - 20$

$5 \left({y}^{2} - 4\right)$

$5 \left(y - 2\right) \left(y + 2\right)$

Expand the denominator...

$\left(y + 2\right) \left(y + 2\right)$

Now your expression looks like this in expanded form...

$\setminus \frac{5 \left(y - 2\right) \left(y + 2\right)}{\left(y + 2\right) \left(y + 2\right)}$

As you can see, you can cancel the $\left(y + 2\right)$ from both the numerator and the denominator.

$\setminus \frac{5 \left(y - 2\right)}{\left(y + 2\right)}$ $\setminus \leftarrow$ this is the simplified form