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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 55 Page 27

Begin with removing parentheses.

4a^2+5

Practice makes perfect

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

( 7a^2-5 )+( -3a^2+10 )

Remove parentheses

7a^2-5-3a^2+10

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.

7a^2 - 5 - 3a^2 + 10 We found two pairs of like terms.

Two a^2-terms.
Two constant terms.

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

7a^2-5-3a^2+10

CommutativePropAdd

Commutative Property of Addition

7a^2-3a^2-5+10

Add and subtract terms

4a^2+5

Subchapter links

Exercises p.25-27