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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 43 Page 11

Start by removing parentheses, then combine like terms.

3x^2-rxt-8r^2x-6rx^2

Practice makes perfect

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

(4rxt-8r^2x+x^2)-(6rx^2+5rxt-2x^2)

Remove parentheses

4rxt-8r^2x+x^2-(6rx^2+5rxt-2x^2)

Distribute -1

4rxt-8r^2x+x^2-6rx^2-5rxt+2x^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. 4rxt- 8r^2x + x^2- 6rx^2 - 5rxt + 2x^2 We have two pairs of like terms: two rxt-terms and two x^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

4rxt-8r^2x+x^2-6rx^2-5rxt+2x^2

CommutativePropAdd

Commutative Property of Addition

x^2+2x^2+4rxt-5rxt-8r^2x-6rx^2

Add and subtract terms

3x^2-rxt-8r^2x-6rx^2

Subchapter links

Exercises p.10-13