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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 62 Page 27

Begin with the Distributive Property.

-2a-4ab+b

Practice makes perfect

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

( 3a+4ab+3b )-( 2b+5a+8ab )

Remove parentheses

3a+4ab+3b-( 2b+5a+8ab )

Distribute -1

3a+4ab+3b-2b-5a-8ab

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 + 4ab + 3b - 2b - 5a - 8ab We found three pairs of like terms.

Two a-terms.
Two ab-terms.
Two b-terms.

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

3a+4ab+3b-2b-5a-8ab

CommutativePropAdd

Commutative Property of Addition

3a-5a+4ab-8ab+3b-2b

Subtract terms

-2a-4ab+b

Subchapter links

Exercises p.25-27