How do you add # ( 7x ^ { 8} + 10x ^ { 2} - 10) + ( 3x ^ { 6} - 6x ^ { 3} + 4)#?

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Answer 1 · 2017-09-03T13:53:32

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^8 + 10x^2 - 10 + 3x^6 - 6x^3 + 4#

Next, group like terms:

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

Now, combine like terms:

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

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

#7x^8 + 3x^6 - 6x^3 + 10x^2 - 6#