Question

I need some help with this.. Its complicated to write but here is a picture of it. I have the answer but I need the step by step solution please.
Simplify: http://miniurl.org/oY7

Answer: http://miniurl.org/tzG

Answer 1

wowsers

Answer 2

i think though, that you can subtract the exponents somehow

Answer 3

Factor both expressions in the numerator fraction by difference of squares, invert the denominator fraction and set up for multiplication. There will be enough factors that cancel to leave you with the answer you have.

Answer 4

What do you mean by difference of squares exactly? I'm more of a visual, do you have a picture by chance or can you give an example?

Answer 5

Difference of squares: a^2-b^2=(a+b)(a-b). In this case, a=x+y or x-y, depending on whether you are considering the numerator or denominator of the expression in the numerator of the overall problem.

Answer 6

\[\frac{\frac{(x-y)^2-z^2}{(x+y)^2-z^2}}{\frac{x-y+z}{x+y-z}}=\frac{(x-y-z)(x-y+z)}{(x+y-z)(x+y+z)}\frac{(x+y-z)}{(x-y+z)}\]

Answer 7

Cancel to get your answer.