Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
2. Multiplying and Factoring
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Exercise 49 Page 496

Remember, only like terms can be combined.

8x^2+4x+5

Practice makes perfect
The first 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. Let's simplify the expression first.
(5x^2+4x-2)+(3x^2+7)
5x^2+4x-2+3x^2+7
5x^2 + 4x - 2 + 3x^2 + 7 In this case, we have two x^2-terms, one x-term, and two constants. Only the x^2-termsand constants can be combined, so to simplify the expression we will rearrange them according to the Commutative Property of Addition and then combine like terms.
5x^2+4x-2+3x^2+7
5x^2+3x^2+4x-2+7
8x^2+4x+5