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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 18 Page 10

Begin with the Distributive Property.

9n^2-5n

Practice makes perfect

To simplify the given expression, we will use the Distributive Property to eliminate the second set of parentheses.

(3n^3-5n+n^2)-(-8n^2+3n^3)

Remove parentheses

3n^3-5n+n^2-(-8n^2+3n^3)

Distribute -1

3n^3-5n+n^2+8n^2-3n^3

The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember that only like terms — constant terms or terms with the same variable and the same exponent — can be combined. 3n^3- 5n + n^2 + 8n^2 - 3n^3 We have two pairs of like terms two n^3-terms and two n^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

3n^3-5n+n^2+8n^2-3n^3

CommutativePropAdd

Commutative Property of Addition

3n^3-3n^3+n^2+8n^2-5n

Add and subtract terms

9n^2-5n

Subchapter links

Exercises p.10-13