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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 16 Page 10

Start by removing parentheses, then combine like terms.

- 2d^2+6d-20

Practice makes perfect

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

(- 3d^2-8+2d)+(4d-12+d^2)

Remove parentheses

- 3d^2-8+2d+4d-12+d^2

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. - 3d^2 - 8 + 2d + 4d - 12 + d^2 We have three pairs of like terms: two d^2-terms, two d-terms, and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

- 3d^2-8+2d+4d-12+d^2

CommutativePropAdd

Commutative Property of Addition

- 3d^2+d^2+2d+4d-8-12

Add and subtract terms

- 2d^2+6d-20

Subchapter links

Exercises p.10-13