How do you evaluate #(2a^{3}b^{2}+4a^{4}b-4b^{4})-(b^{4}+6a^{4}b+7a^{3}b^{2})#?

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Answer 1 · 2017-12-04T03:40:13

See a solution process below:

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

#2a^3b^2 + 4a^4b - 4b^4 - b^4 - 6a^4b - 7a^3b^2#

Next, group like terms:

#2a^3b^2 - 7a^3b^2 + 4a^4b - 6a^4b - 4b^4 - b^4#

#4a^4b - 6a^4b + 2a^3b^2 - 7a^3b^2 - 4b^4 - b^4#

Now, combine like terms:

#4a^4b - 6a^4b + 2a^3b^2 - 7a^3b^2 - 4b^4 - 1b^4#

#(4 - 6)a^4b + (2 - 7)a^3b^2 + (-4 - 1)b^4#

#-2a^4b + (-5)a^3b^2 + (-5)b^4#

#-2a^4b - 5a^3b^2 - 5b^4#