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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 59 Page 27

Begin with removing parentheses.

4b+c+2

Practice makes perfect

To find the sum, we will first remove the parentheses and then simplify the expression.

(b+4)+(c+3b-2)

Remove parentheses

b+4+c+3b-2

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.

b + 4 + c + 3b - 2 We found two pairs of like terms.

Two b-terms.
Two constant terms.

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

b+4+c+3b-2

CommutativePropAdd

Commutative Property of Addition

b+3b+4-2+c

Add and subtract terms

4b+2+c

CommutativePropAdd

Commutative Property of Addition

4b+c+2

Subchapter links

Exercises p.25-27