Question

Simiplify. U^2 - 4 / U^2 - 2u

Answer 1

The answer would be u+2/u

Answer 2

Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)

and the undistributiv propeoryt
ab-ac=a(b-c)

so we have
$\frac{u^{2}-4}{u^{2}-2u}$
undistribute and factor
$\frac{(u-2)(u+2)}{u(u-2)}$
cancel out the one ( (u-2)/(u-2)=1)

$\frac{(u+2)}{u}$ is result