algebra simplifying fractions

Question

(2xy)/(x^(2)y-y^(2)x) Can you help me solve this fraction and the restrictions

Answer 1

Try factoring an x out of the denominator and simplify

Answer 2

(2xy) / (x²y - y²x) = (2xy) / (x*xy - y*xy) = 2 / (x - y)

Answer 3

Hey Gin!

I would suggest you begin by factoring the denominator. (x²y - y²x) can be rewritten as xy(x-y). Now let's rewrite the entire fraction with the new denominator:

2xy

--------

xy(x-y)

Notice how we now have the term xy in both the numerator and denominator. We can cancel them out because xy/xy is equal to 1. Let's see what the fraction looks like now:

2

--------

(x-y)

This would be your final answer because you cannot factor and simplify any further.

The restricted values are those which, when plugged into the variable(s), will make the denominator equal to 0 because you cannot divide by 0.

Hope this helps!