Answer
$5x(x^2-1)^{-1/2}(2x^2-\frac{1}{x^2-1})$
Work Step by Step
$10x^3(x^2-1)^{-1/2}-5x(x^2-1)^{1/2}$
greatest common factor is $5x(x^2-1)^{-1/2}$
$=[5x(x^2-1)^{-1/2}].2x^2-[5x(x^2-1)^{-1/2}].(x^2-1)^{-1}$
$=5x(x^2-1)^{-1/2}(2x^2-\frac{1}{x^2-1})$
