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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 60 Page 27

Begin with the Distributive Property.

-11a

Practice makes perfect

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

(3a^3-6a)-(3a^3+5a)

Remove parentheses

3a^3-6a-(3a^3+5a)

Distribute -1

3a^3-6a-3a^3-5a

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.

3a^3 - 6a - 3a^3 - 5a We found two pairs of like terms.

Two a^3-terms.
Two a-terms.

To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

3a^3-6a-3a^3-5a

CommutativePropAdd

Commutative Property of Addition

3a^3-3a^3-6a-5a

Subtract terms

11a

Subchapter links

Exercises p.25-27