McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Practice Test
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Exercise 2 Page 86

Start by removing parentheses, then combine like terms.

- 6n^2+6n+3m

To simplify the given expression, we will first eliminate the parentheses.
(7m-8n^2+3n)-(- 2n^2+4m-3n)
7m-8n^2+3n-(- 2n^2+4m-3n)
7m-8n^2+3n+2n^2-4m+3n
The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined. 7m - 8n^2+ 3n + 2n^2 - 4m+ 3n We have three pairs of like terms: two m-terms, two n^2-terms, and two n-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
7m-8n^2+3n+2n^2-4m+3n
- 8n^2+2n^2+3n+3n+7m-4m
- 6n^2+6n+3m