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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 38 Page 11

Start by removing parentheses, then combine like terms.

- 2x-5y+1

Practice makes perfect

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

(2x-2y+1)-(3y+4x)

Remove parentheses

2x-2y+1-(3y+4x)

Distribute -1

2x-2y+1-3y-4x

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. 2x - 2y + 1 - 3y - 4x We have two pairs of like terms: two x-terms and two y-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

2x-2y+1-3y-4x

CommutativePropAdd

Commutative Property of Addition

2x-4x-2y-3y+1

Add and subtract terms

- 2x-5y+1

Subchapter links

Exercises p.10-13