Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
1. Adding and Subtracting Polynomials
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Exercise 50 Page 491

Remember, only like terms can be combined.

5a^3b-5ab

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. ( ab^2 + ba^3)+( 4a^3b - ab^2 - 5ab) In this case we have two ab^2-terms, one ba^3-term, one a^3b-term, and one ab-term. The ab^2-terms can be combined, and the ba^3-term can be combined with the a^3b-term. To simplify the expression we will remove parentheses, rearrange it according to the Commutative Property of Addition, and then combine like terms.
(ab^2+ba^3)+(4a^3b-ab^2-5ab)
ab^2+ba^3+4a^3b-ab^2-5ab
ab^2-ab^2+ba^3+4a^3b-5ab
ab^2-ab^2+a^3b+4a^3b-5ab
5a^3b-5ab