How do you combine like terms of #(a ^ { 2} - a b + 4b ^ { 2} ) + ( 6a ^ { 2} + 8a b - b ^ { 2} )#?

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Answer 1 · 2018-07-12T10:17:16

See a solution process below:

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

#a^2 - ab + 4b^2 + 6a^2 + 8ab - b^2#

Next, group like terms:

#a^2 + 6a^2 - ab + 8ab + 4b^2 - b^2#

Now, combine like terms:

#1a^2 + 6a^2 - 1ab + 8ab + 4b^2 - 1b^2#

#(1 + 6)a^2 + (-1 + 8)ab + (4 - 1)b^2#

#7a^2 + 7ab + 3b^2#