I am confused over a few problems I solved/ tried to solve for a problem set.
My 1st question is:
Simplify x ^ -2 / x^-2+ y^-2
The simplified version I got was
x^2 + y^2 / x^2
I am not to sure if this is correct if anyone can verify it that would greatly help.
My next question is
Consider a cube with legnth of the side equal to s, then write a function of s whose value is the volume of a cube.
I believe the correct answer is
f(x) = s^3
but I am also not to sure about the answer to this one.
My last question is if I am solving the equation for a circle and I have
4x^2 + 16x + 64 + 4y^2 - 8y + 16 = Root 78
I cannot factor out the terms for x and y to end up with the normal circle equations. Can I use the quadratic formula to solve for the center and radius?
Thanks for any help anyone may provide.