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

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Answer 1 · 2017-03-10T14:46:10

See the entire solution process below:

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

#2r^2 + 2r - 7r^4 - 7r^4 + 2r^2 + 4r#

Next, group like terms together:

#-7r^4 - 7r^4 + 2r^2 + 2r^2 + 2r + 4r#

Now, combine like terms:

#(-7 - 7)r^4 + (2 + 2)r^2 + (2 + 4)r#

#-14r^4 + 4r^2 + 6r#