How do you combine like terms in $(2x ^ { 2} + 9x - 5) + ( 5x ^ { 2} + 7x + 13) - ( 7x ^ { 2} - 18)$ ?

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Answer 1 · 2018-02-03T18:47:00

16x + 13 is the answer, explanation provides a more detailed answer to your question.

Start by distributing the signs outside of the parentheses. When you do this, the equation looks like this:

$2x^2 + 9x - 5 + 5x^2 + 7x + 13 - 7x^2 +18$

To make this a little easier on your eyes, move like terms (terms with the same variable to the same exponent) next to each other.

$2x^2 + 5x^2 - 7x^2 + 9x + 7x - 5 + 13 + 18$

Now combine the like terms. The $x^2$ terms cancel out, but the rest can be simplified.

$16x + 26$

How do you combine like terms in (2x ^ { 2} + 9x - 5) + ( 5x ^ { 2} + 7x + 13) - ( 7x ^ { 2} - 18)(2x ^ { 2} + 9x - 5) + ( 5x ^ { 2} + 7x + 13) - ( 7x ^ { 2} - 18)?