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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 57 Page 11

Start by removing parentheses, then combine like terms.

7n^3-7n^2-n-6

Practice makes perfect

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

(3n^3+3n-10)-(4n^2-5n)+(4n^3-3n^2-9n+4)

Remove parentheses

3n^3+3n-10-(4n^2-5n)+4n^3-3n^2-9n+4

Distribute -1

3n^3+3n-10-4n^2+5n+4n^3-3n^2-9n+4

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. 3n^3 + 3n - 10-4n^2 + 5n + 4n^3-3n^2 - 9n + 4 We have four types of like terms: two n^3-terms, two n^2-terms, three n-terms, and three constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

3n^3+3n-10-4n^2+5n+4n^3-3n^2-9n+4

CommutativePropAdd

Commutative Property of Addition

3n^3+4n^3-4n^2-3n^2+3n+5n-9n-10+4

Add and subtract terms

7n^3-7n^2-n-6

Subchapter links

Exercises p.10-13