Question

Simplify:....PLZ HELP!

Answer 1

Factor out 2 from 2x-2y
(2(x-y))/(3x-3y)*(6x+6y)/(x^(2)-y^(2))

Factor 3 from 3x-3y
(2(x-y))/(3(x-y))*(6x+6y)/(x^(2)-y^(2))

Reduce the expression by canceling out the common factor of (x-y) from the numerator and denominator

2/3*(6x+6y)/(x^(2)-y^(2))

Factor 6 from 6x+6y
2/3*(6(x+y))/(x^(2)-y^(2))

The binomial can be factored using the difference of squares formula,
So,
(2)/(3)*(6(x+y))/((x-y)(x+y))

Reduce the expression by canceling out the common factor of (x+y) from the numerator and denominator.
(2)/(3)*(6)/(x-y)

Cancel all common factors from the expressions.
2*(2)/(x-y)

4/(x-y)

Answer 2

WOW, good answer thanks for showing the work.