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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 40 Page 11

Start by removing parentheses, then combine like terms.

- x^2y-3x^2+4y

Practice makes perfect

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

(x^2y-3x^2+y)+(3y-2x^2y)

Remove parentheses

x^2y-3x^2+y+3y-2x^2y

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. x^2y- 3x^2 + y + 3y - 2x^2y We have two pairs of like terms: two x^2y-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.

x^2y-3x^2+y+3y-2x^2y

CommutativePropAdd

Commutative Property of Addition

x^2y-2x^2y-3x^2+y+3y

Add and subtract terms

- x^2y-3x^2+4y

Subchapter links

Exercises p.10-13