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

Jan 11, 2016

$y = {x}^{3} - 3 {x}^{2} - 4 x + 12$

#### Explanation:

$y = \left(x - 3\right) \left(x - 2\right) \left(x + 2\right)$

$= \left(x - 3\right) \left({x}^{2} - 4\right)$

$= {x}^{2} \left(x - 3\right) - 4 \left(x - 3\right)$

$= {x}^{3} - 3 {x}^{2} - 4 x + 12$

Standard form puts terms in decreasing order of degree as we have done here.