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We can also use factoring to simplify cube roots such as 3√125 125 3 You can read this as "the third root of 125" or "the cube root of 125" To simplify this expression, look for a number that, when multiplied by itself two times (for a total of three identical factors), equals 125Algebra Factor (xy)^3 (xy)^3 (x y)3 − (x − y)3 ( x y) 3 ( x y) 3 Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 abb2) a 3 b 3 = ( a b) ( a 2 a b b 2) where a = xy a = x y and b = x− y b = x y9 x 2 y 2 ⋅ 2 x 9 x 2 y 2 ⋅ 2 x Simplify 3 x y 2 x 3 x y 2 x Try It 7 Simplify 64 x 4 y 5 2 x y 3 64 x 4 y 5 2 x y 3 Try It 8 Simplify 96 a 5 b 4 2 a 3 b 96 a 5 b 4 2 a 3 b Rationalize a One Term Denominator Before the calculator became a tool of everyday life, approximating the value of a fraction with a radical in the
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