(x-1)^7/2 - (x-1)^3/2 factor and simplify. Show step-by-step solution.

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asked Dec 22, 2017 233k views

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(x-1)^7/2 - (x-1)^3/2 factor and simplify. Show step-by-step solution.

Mathematics
high-school

Majenko asked

by Majenko

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(x-1)^3/2((x-1)^2-1) =(x+1)(x-1)^5/2

Selvakumar Esra answered Dec 24, 2017

by Selvakumar Esra

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$(x-1)^(7/2) -(x-1) ^(3/2)= \\ =(x-1)^(3/2)*(x-1) ^(4/2)-(x-1) x^(3/2)= \\ =(x-1) ^(3/2)*((x-1) ^(2) - 1) = \\ =(x-1) ^(3/2)*(x-1+1)*(x-1-1) = \\ =x*(x-2)*(x-1) ^(3/2)$

Sczizzo answered Dec 27, 2017

by Sczizzo

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