Question

How do I simplify this?

Answer 1

(x+y)/(xy^(-1)-x^(-1)*y)

Multiply -(1)/(x) by y to get -(y)/(x).
\[\frac{(x+y)}{((x)/(y)-(y)/(x))}\]

Combine (x)/(y)-(y)/(x) into a single expression by finding the least common denominator (LCD). The LCD of (x)/(y)-(y)/(x) is yx.
\[\huge \frac{(x+y)}{\frac{(x^{2}-y^{2})}{(xy)}}\]

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a^(2)-b^(2)=(a-b)(a+b).
(x+y)/(((x-y)(x+y))/(xy))

Remove the single term factors from the expression.
(xy)/(x-y)

Answer 2

what i did wrong was that instead of x^2-y^2 i wrote xy-xy for that one part,,, but i see now,,thx for showing me yr steps

Answer 3

welcom :)