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#