Question

Subtract:
F(x) = x^2+7x-8/x^3-5
G(x) = -7x-5x^3/4square root of x

Answer 1

looks pretty straightforward, if I read it right.

f(x)-g(x) = (x^2+7x-8)/(x^3-5) - (-7x-5x^3)/(4√x)
so, it looks like we need to use a common denominator, so that gives us

(x^2+7x-8)(4√x) + (5x^3+7x)(x^3-5)
-------------------------------------------------------------
         (4√x)(x^3-5)

Now just expand all that out if you wish. That pesky √x does get in the way, though.