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

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

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Answer 1 · 2017-12-02T00:42:23

$5 x^{4} - 16 x^{3} + 13 x^{2} - 4 x - 8$ $5x^4-16x^3+13x^2-4x-8$

Explanation:

First, just drop the parentheses:

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

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

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

Finally, combine like terms:

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

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

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Explanation:

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How do you evaluate (5x4−6x3+4x2+6x)+(−10x3+9x2+10x−8)(5x ^ { 4} - 6x ^ { 3} + 4x ^ { 2} + 6x ) + ( - 10x ^ { 3} + 9x ^ { 2} + 10x - 8)?

1 Answer

Explanation:

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