# What is the standard form of y= (x-6)(x-3)^2 ?

May 28, 2018

$y = {x}^{3} - 12 {x}^{2} + 45 x - 54$ is the standard form.

#### Explanation:

$y = \left(x - 6\right) \cdot {\left(x - 3\right)}^{2}$

$y = \left(x - 6\right) \cdot \left({x}^{2} - 6 x + 9\right)$

$y = {x}^{3} - 6 {x}^{2} + 9 x - 6 {x}^{2} + 36 x - 54$

$y = {x}^{3} - 12 {x}^{2} + 45 x - 54$ is the standard form.