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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 54 Page 11

Start by removing parentheses, then combine like terms.

9x+4y-17z

Practice makes perfect

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

(4x+2y-6z)+(5y-2z+7x)+(- 9z-2x-3y)

Remove parentheses

4x+2y-6z+5y-2z+7x-9z-2x-3y

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. 4x + 2y- 6z + 5y- 2z + 7x- 9z - 2x - 3y We have three types of like terms: three x-terms, three y-terms, and three z-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

4x+2y-6z+5y-2z+7x-9z-2x-3y

CommutativePropAdd

Commutative Property of Addition

4x+7x-2x+2y+5y-3y-6z-2z-9z

Add and subtract terms

9x+4y-17z

Subchapter links

Exercises p.10-13