Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
4. Solving Radical Equations and Inequalities
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Exercise 64 Page 268

Remember, only like terms can be combined.

x^4+x^3-2x^2-4x+1

Practice makes perfect
The first step in simplifying this expression is to remove parentheses.
(x^3-2x^2+3x+1)+(x^4-7x)
x^3-2x^2+3x+1+x^4-7x
The next step is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. x^3-2x^2+ 3x+1+x^4 -7x In this case, we have two x-terms. Only the x-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.
x^3-2x^2+ 3x+1+x^4 -7x
x^4+x^3-2x^2+ 3x-7x+1
x^4+x^3-2x^2-4x+1