Question

Simplify by factoring
URGENT!!! What did I do wrong??

Answer 1

`4(x-2)(x-1)^3(x+1)√(x-1)`

Explanation:

`4x(x-1)^(9/2)-8(x-1)^(7/2)=4(x-1)^(7/2)(x(x-1)^(2/2) -2)=4(x-1)^(7/2)(x^2-x-2)\\\\=4(x-1)^(7/2)(x-2)(x+1)=4(x-2)(x-1)^3(x+1)√(x-1)`

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Among other things, the leading coefficient cannot be 2, as 4 is a factor of both the given terms.