Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
1. Graphing Polynomial Functions
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Exercise 52 Page 164

Remember, only like terms can be combined.

7h^3g+5hg^3+7h^2g^2

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 variables and the same exponents — can be combined. 2h^3g + 3hg^3 + 7h^2g^2 + 5h^3g + 2hg^3 In this case, we have two h^3g-terms, two hg^3-terms, and one h^2g^2-term. Only the h^3g-terms and hg^3-terms can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then evaluate the difference between the like terms.
2h^3g+3hg^3+7h^2g^2+5h^3g+2hg^3
2h^3g+5h^3g+3hg^3+2hg^3+7h^2g^2
7h^3g+5hg^3+7h^2g^2