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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 41 Page 11

Start by removing parentheses, then combine like terms.

7x^2-2xy-7y

Practice makes perfect

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

(- 8xy+3x^2-5y)+(4x^2-2y+6xy)

Remove parentheses

- 8xy+3x^2-5y+4x^2-2y+6xy

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. - 8xy + 3x^2- 5y + 4x^2- 2y + 6xy We have three pairs of like terms: two xy-terms, two x^2-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.

- 8xy+3x^2-5y+4x^2-2y+6xy

CommutativePropAdd

Commutative Property of Addition

3x^2+4x^2-8xy+6xy-5y-2y

Add and subtract terms

7x^2-2xy-7y

Subchapter links

Exercises p.10-13