How do you simplify #(3x ^ { 2} - 2x - 5) - ( x ^ { 2} - 8)#?

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Answer 1 · 2017-06-13T21:39:47

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#3x^2 - 2x - 5 - x^2 + 8#

Next, group like terms:

#3x^2 - x^2 - 2x - 5+ 8#

Now, combine like terms:

#3x^2 - 1x^2 - 2x - 5+ 8#

#(3 - 1)x^2 - 2x + (-5 + 8)#

#2x^2 - 2x + 3#