How do you evaluate #(13a ^ { 2} - 6a ^ { 5} - 2a ) - ( - 10a ^ { 2} - 11a ^ { 5} + 9a ) #?

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Answer 1 · 2017-11-06T17:24:05

See a solution process below:

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

#13a^2 - 6a^5 - 2a + 10a^2 + 11a^5 - 9a#

Next, group like terms:

#11a^5 - 6a^5 + 13a^2 + 10a^2 - 2a - 9a#

Now, combine like terms:

#(11 - 6)a^5 + (13 + 10)a^2 + (-2 - 9)a#

#5a^5 + 23a^2 + (-11)a#

#5a^5 + 23a^2 - 11a#