How do you add #(4x ^ { 2} + 9x - 8) + ( 4x ^ { 2} + 8x + 17) - ( 8x ^ { 2} - 12)#?

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Answer 1 · 2017-07-25T17:49:18

See a solution process below:

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

#4x^2 + 9x - 8 + 4x^2 + 8x + 17 - 8x^2 + 12#

Next, group like terms:

#4x^2 + 4x^2 - 8x^2 + 9x + 8x - 8 + 17 + 12#

Now, combine like terms:

#(4 + 4 - 8)x^2 + (9 + 8)x + (-8 + 17 + 12)#

#0x^2 + 17x + 21#

#17x + 21#