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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 56 Page 27

Begin with removing parentheses.

-8n^2+12n

Practice makes perfect

To find the sum, we will remove the parentheses.

( 8n-2n^2 ) + ( 4n-6n^2 )

Remove parentheses

8n-2n^2 + 4n-6n^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.

8n - 2n^2 + 4n - 6n^2 We found two pairs of like terms.

Two n-terms.
Two n^2-terms.

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

8n-2n^2 + 4n-6n^2

CommutativePropAdd

Commutative Property of Addition

8n+4n-2n^2-6n^2

Add and subtract terms

12n-8n^2

CommutativePropAdd

Commutative Property of Addition

-8n^2+12n

Subchapter links

Exercises p.25-27