How do you evaluate #3(x ^ { 2} - 1) - ( x ^ { 2} - 7x + 10)#?

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Answer 1 · 2017-12-03T02:03:42

The simplified expression is #2x^2+7x-13#.

Since this isn’t an equation, but rather an expression, it can only be simplified, not evaluated.

So let’s simplify it.

First distribute the #3# to #(x^2-1)#:

#\implies 3x^2-3-(x^2-7x+10)#

Distribute the negative sign and drop the parentheses:

#\implies color(blue)(3x^2)-color(red)(3)-color(blue)(x^2)+7x-color(red)(10)#

Combine like terms:

#\implies color(blue)(2x^2)+7x-color(red)(13)#