# How do you simplify the expression: -80(x - 3)(x - 3) + 150?

Dec 5, 2016

$- 80 {x}^{2} + 480 x - 570$

#### Explanation:

First step to putting this problem in standard for is to square the term in parenthesis by cross multiplying:

$- 80 \left(x - 3\right) \left(x - 3\right) + 150 \to$

$- 80 \left({x}^{2} - 3 x - 3 x + 9\right) + 150$ ->

$- 80 \left({x}^{2} - 6 x + 9\right) + 150$

The next step is to expand the terms in parenthesis:

$- 80 {x}^{2} - - 80 \cdot 6 x - 9 \cdot 80 + 150 \to$

$- 80 {x}^{2} + 480 x - 720 + 150$

Finally we can consolidate like terms:

$- 80 {x}^{2} + 480 x - 570$