How do you combine like terms in #(2b ^ { 2} - 4b ^ { 4} + 6b ^ { 5} ) - ( - 10b ^ { 5} - 2b ^ { 2} + 8b )#?

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Answer 1 · 2017-05-03T00:53:08

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:

#2b^2 - 4b^4 + 6b^5 + 10b^5 + 2b^2 - 8b#

Next, group like terms:

#6b^5 + 10b^5 - 4b^4 + 2b^2 + 2b^2 - 8b#

Now, combine like terms:

#(6 + 10)b^5 - 4b^4 + (2 + 2)b^2 - 8b#

#16b^5 - 4b^4 + 4b^2 - 8b#