How do you combine like terms in #(7x ^ { 5} + 7x ^ { 4} - 5x ^ { 2} + 4x + 10) - ( - 9x ^ { 5} - 8x ^ { 3} + 2x ^ { 2} + 6)#?

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Answer 1 · 2017-07-21T02:58:59

See a solution process below:

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

#7x^5 + 7x^4 - 5x^2 + 4x + 10 + 9x^5 + 8x^3 - 2x^2 - 6#

Next, group like terms:

#7x^5 + 9x^5 + 7x^4 + 8x^3 - 5x^2 - 2x^2 + 4x + 10 - 6#

Now, combine like terms:
#(7 + 9)x^5 + 7x^4 + 8x^3 + (-5 - 2)x^2 + 4x + 10 - 6#

#16x^5 + 7x^4 + 8x^3 + (-7)x^2 + 4x + 10 - 6#

#16x^5 + 7x^4 + 8x^3 - 7x^2 + 4x + 10 - 6#