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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 55 Page 11

Start by removing parentheses, then combine like terms.

10a^2-8a+16

Practice makes perfect

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

(5a^2-4)+(a^2-2a+12)+(4a^2-6a+8)

Remove parentheses

5a^2-4+a^2-2a+12+4a^2-6a+8

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. 5a^2 - 4 + a^2 - 2a + 12 + 4a^2 - 6a + 8 We have three types of like terms: three a^2-terms, two a-terms, and three constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

5a^2-4+a^2-2a+12+4a^2-6a+8

CommutativePropAdd

Commutative Property of Addition

5a^2+a^2+4a^2-2a-6a-4+12+8

Add and subtract terms

10a^2-8a+16

Subchapter links

Exercises p.10-13