precalc

Question

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656

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Factor the expression completely, the lowest power of each common factor

x^−3/2 + 2x^−1/2 + x^1/2

Guest Sep 27, 2018

edited by Guest Sep 27, 2018

+6252

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Best Answer

$x^{-3/2} + 2x^{-1/2}+x^{1/2} =\\ x^{1/2}\left(x^{-2}+2x^{-1}+1\right) =\\ x^{1/2}\left(x^{-1}+1\right)^2$

Rom Sep 27, 2018

Rom · Answer 1 · 2018-09-27T04:08:47

$x^{-3/2} + 2x^{-1/2}+x^{1/2} =\\ x^{1/2}\left(x^{-2}+2x^{-1}+1\right) =\\ x^{1/2}\left(x^{-1}+1\right)^2$

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