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

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Answer 1 · 2016-12-05T16:10:29

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

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

$-80(x - 3)(x - 3) + 150 ->$

$-80(x^2 - 3x - 3x + 9) + 150$ ->

$-80(x^2 - 6x + 9) + 150$

The next step is to expand the terms in parenthesis:

$-80x^2 - -80*6x - 9*80 + 150 ->$

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

Finally we can consolidate like terms:

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

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