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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 14 Page 10

Start by removing parentheses, then combine like terms.

- 13y^2+11y

Practice makes perfect

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

(8y-4y^2)+(3y-9y^2)

Remove parentheses

8y-4y^2+3y-9y^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. 8y - 4y^2 + 3y - 9y^2 We have two pairs of like terms, two y-terms and two y^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

8y-4y^2+3y-9y^2

CommutativePropAdd

Commutative Property of Addition

- 4y^2-9y^2+3y+8y

Add and subtract terms

- 13y^2+11y

Subchapter links

Exercises p.10-13