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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 58 Page 27

Begin with removing parentheses.

-2u^2+8u+5

Practice makes perfect

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

( -4u^2-9+2u )+( 6u+14+2u^2 )

Remove parentheses

-4u^2-9+2u+6u+14+2u^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.

-4u^2 - 9 + 2u + 6u + 14 + 2u^2 We found three pairs of like terms.

Two u^2-terms.
Two constant terms.
Two u-terms.

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

-4u^2-9+2u+6u+14+2u^2

CommutativePropAdd

Commutative Property of Addition

-4u^2+2u^2-9+14+2u+6u

Add terms

-2u^2+5+8u

CommutativePropAdd

Commutative Property of Addition

-2u^2+8u+5

Subchapter links

Exercises p.25-27