How do you combine like terms in #(7b ^ { 2} - 7b ^ { 3} - 6b ^ { 4} ) - ( 4b ^ { 3} - 3b ^ { 2} + 2)#?

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Answer 1 · 2017-03-10T14:42:37

See the entire solution process below:

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

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

Next, group like terms:

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

Now, combine like terms:

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

#-6b^4 - 11b^3 + 10b^2 - 2#