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

Aug 2, 2017

$y = {x}^{3} + 11 {x}^{2} + 25 x + 35$

#### Explanation:

$y = - {\left(x + 5\right)}^{2} \left(- x - 1\right)$

Factor the negative sign out of the second term:
$y = - {\left(x + 5\right)}^{2} \left(- 1\right) \left(x + 1\right)$

$y = {\left(x + 5\right)}^{2} \left(x + 1\right)$

Distribute each term to expand:
$y = \left({x}^{2} + 10 x + 25\right) \left(x + 1\right)$

$y = \left({x}^{3} + {x}^{2}\right) + \left(10 {x}^{2} + 10\right) + \left(25 x + 25\right)$

Combine like terms to get standard form:
$y = {x}^{3} + 11 {x}^{2} + 25 x + 35$