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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Adding and Subtracting Polynomials

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Exercise 13 Page 10

Start by removing parentheses, then combine like terms.

- a^2+6a-3

Practice makes perfect

To simplify the given expression, we will first eliminate the parentheses.

(4+2a^2-2a)-(3a^2-8a+7)

Remove parentheses

4+2a^2-2a-(3a^2-8a+7)

Distribute -1

4+2a^2-2a-3a^2+8a-7

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. 4 + 2a^2 - 2a - 3a^2 + 8a - 7 We have three pairs of like terms: two a^2-terms, two a-terms, and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

4+2a^2-2a-3a^2+8a-7

CommutativePropAdd

Commutative Property of Addition

2a^2-3a^2-2a+8a+4-7

Add and subtract terms

- a^2+6a-3

Subchapter links

Exercises p.10-13