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 52 Page 496

Remember, only like terms can be combined.

7x^4+2x^3-8x^2+4

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.
(7x^4 + 3x^3 - 5x + 1) - (x^3 + 8x^2 - 5x - 3)
7x^4 + 3x^3 - 5x + 1 - x^3 - 8x^2 + 5x + 3
7x^4 + 3x^3 - 5x + 1 - x^3 - 8x^2 + 5x + 3 In this case, we have one x^4-term, two x^3-terms, one x^2-term, two x-terms, and two constants. The x^3-terms, x-terms, and 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.
7x^4 + 3x^3 - 5x + 1 - x^3 - 8x^2 +5x + 3
7x^4 + 3x^3 - x^3 -8x^2 - 5x + 5x + 1 + 3
7x^4+2x^3-8x^2+4