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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 16 Page 81

Start by removing parentheses.

- a^2+9a-6

Practice makes perfect

To simplify the given expression we will eliminate the parentheses.

a^2+5a-3 - ( 2a^2-4a+3 )

Distr

Distribute -1

a^2+5a-3 - 2a^2+4a-3

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

a^2+5a-3 - 2a^2+4a-3

CommutativePropAdd

Commutative Property of Addition

a^2-2a^2+5a+4a-3-3

AddSubTerms

Add and subtract terms

- a^2+9a-6

Subchapter links

1 Adding and Subtracting Polynomials p.81

2 Multiplying a Polynomial by a Monomial p.81

3 Multiplying Polynomials p.81

4 Special Products p.82

5 Using the Distributive Property p.82

6 Solving x^2+bx+c=0 p.83

7 Solving ax^2+bx+c=0 p.83

8 Differences of Squares p.84

9 Perfect Squares p.84

10 Roots and Zeros p.85

Exercise 16 Page 81

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