How do you combine like terms in #(2x ^ { 2} - 3x + 4) - ( 5x ^ { 2} - 8x + 3)#?

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Answer 1 · 2017-04-07T01:17:09

See the entire solution process below:

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

#2x^2 - 3x + 4 - 5x^2 + 8x - 3#

Next, group like terms:

#2x^2 - 5x^2 + 8x - 3x + 4 - 3#

Now, combine like terms:

#(2 - 5)x^2 + (8 - 3)x + (4 - 3)#

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