How do you combine $(10 x - 3 + 7 x^{2}) + (x^{3} - 2 x + 17)$ $(10x-3+7x ^2)+(x^3-2x+17)$ ?

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Answer 1 · 2018-03-03T20:48:19

See a solution process below:

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

$10 x - 3 + 7 x^{2} + x^{3} - 2 x + 17$ $10x - 3 + 7x^2 + x^3 - 2x + 17$

Next, group like terms in order of the largest to smallest exponent:

$x^{3} + 7 x^{2} + 10 x - 2 x - 3 + 17$ $x^3 + 7x^2 + 10x - 2x - 3 + 17$

Now, combine like terms:

$x^{3} + 7 x^{2} + (10 - 2) x + (- 3 + 17)$ $x^3 + 7x^2 + (10 - 2)x + (-3 + 17)$

$x^{3} + 7 x^{2} + 8 x + 14$ $x^3 + 7x^2 + 8x + 14$

How do you combine (10x-3+7x ^2)+(x^3-2x+17)(10x−3+7x2)+(x3−2x+17)(10x-3+7x ^2)+(x^3-2x+17)?