How do you evaluate #(5x ^ { 4} - 6x ^ { 3} + 4x ^ { 2} + 6x ) + ( - 10x ^ { 3} + 9x ^ { 2} + 10x - 8)#?

1 Answer
Morgan S.
Dec 2, 2017

#5x^4-16x^3+13x^2-4x-8#

Explanation:

First, just drop the parentheses:

#color(red)(5x^4)-color(orange)(6x^3)+color(green)(4x^2)+color(blue)(6x)-color(orange)(10x^3)+color(green)(9x^2)+color(blue)(10x)-color(magenta)(8)#

Now, we can rearrange the expression using the commutative to put like terms next to each other:

#color(red)(5x^4)-color(orange)(6x^3)-color(orange)(10x^3)+color(green)(4x^2)+color(green)(9x^2)+color(blue)(6x)-color(blue)(10x)-color(magenta)(8)#

Finally, combine like terms:

#color(red)(5x^4)-color(orange)(16x^3)+color(green)(13x^2)-color(blue)(4x)-color(magenta)(8)#

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