# What is the standard form of  y= (x - 8) (x -1)^2 ?

Feb 24, 2016

$y = {x}^{3} - 10 {x}^{2} + 17 x - 8$

#### Explanation:

Step 1: Multiply and expand the function and combine like terms

$y = \left(x - 8\right) {\left(x - 1\right)}^{2}$

$y = \left(x - 8\right) \left(x - 1\right) \left(x - 1\right)$
$y = \left({x}^{2} - 8 x - x + 8\right) \left(x - 1\right)$
$y = \left({x}^{2} - 9 x + 8\right) \left(x - 1\right)$

*Step 28: Multiply and expand and combine like terms like this

$y = \left({x}^{2} - 9 x + 8\right) \left(x - 1\right)$

$y = \left({x}^{3} - {x}^{2} - 9 {x}^{2} + 9 x + 8 x - 8\right)$
$y = {x}^{3} - 10 {x}^{2} + 17 x - 8$