# What is the standard form of y= (2x-5)(x-1)^2 ?

Dec 16, 2015

$y = 2 {x}^{3} - 9 {x}^{2} + 12 x - 5$

#### Explanation:

To find the standard form of the equation, expand the brackets:

$y = \left(2 x - 5\right) {\left(x - 1\right)}^{2}$
$y = \left(2 x - 5\right) \left({x}^{2} - 2 x + 1\right)$
$y = \left(2 {x}^{3} - 4 {x}^{2} + 2 x - 5 {x}^{2} + 10 x - 5\right)$
$y = 2 {x}^{3} - 9 {x}^{2} + 12 x - 5$