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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 15 Page 81

Start by removing parentheses.

- 2x^3-3

Practice makes perfect

To simplify the given expression we will eliminate the parentheses.

( x^3+2 ) + ( - 3x^3-5 )

RemovePar

Remove parentheses

x^3+2-3x^3-5

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

x^3+2-3x^3-5

CommutativePropAdd

Commutative Property of Addition

x^3-3x^3+2-5

SubTerms

Subtract terms

- 2x^3-3

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 15 Page 81

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