# How do you factor 45x^2 - 60x +20 ?

Nov 18, 2017

$5 {\left(3 x - 2\right)}^{2}$

#### Explanation:

$45 {x}^{2} - 60 x + 20$

First factor out 5 so that you will be left with smaller coefficients
$5 \left(9 {x}^{2} - 12 x + 4\right)$

So we know that:

• $9 = 3 \cdot 3$
• $4 = 2 \cdot 2$
• the format would be $\left(a x - b\right) \left(c x - d\right)$ since the coefficient of $x$ is negative and the constant is $+ 4$.

$5 \left(9 {x}^{2} - 12 x + 4\right)$
$5 \left(3 x - 2\right) \left(3 x - 2\right)$
$5 {\left(3 x - 2\right)}^{2}$