Question

Which expression is equivalent to the following complex fraction?SIMI3+3y+5x2(y-2x)2(y-2x)3y-5xo122(y-2x)(3y-5x)x²,2x²y²2(y-2x) (3y-5x

Answer 1

For this case we can do the following:

`((2)/(x)-(4)/(y))/(-(5)/(y)+(3)/(x))`

We can start with the numerator and we have:

`(2)/(x)-(4)/(y)=(2y-4x)/(xy)=(2(y-2x))/(xy)`

For the denominator we have:

`-(5)/(y)+(3)/(x)=(3y-5x)/(xy)`

And replacing we got:

`((2(y-2x))/(xy))/((3y-5x)/(xy))=(2(y-2x))/(3y-5x)`

Then the correct answer would be:

`(2(y-2x))/(3y-5x)`