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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 42 Page 11

Start by removing parentheses, then combine like terms.

- 6p^2+2np+n

Practice makes perfect

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

(5n-2p^2+2np)-(4p^2+4n)

Remove parentheses

5n-2p^2+2np-(4p^2+4n)

Distribute -1

5n-2p^2+2np-4p^2-4n

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. 5n - 2p^2+ 2np - 4p^2 - 4n We have two pairs of like terms: two n-terms and two p^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

5n-2p^2+2np-4p^2-4n

CommutativePropAdd

Commutative Property of Addition

- 2p^2-4p^2+2np+5n-4n

Add and subtract terms

- 6p^2+2np+n

Subchapter links

Exercises p.10-13