Question

((x-y)^(2))/(2xy+6y)*(4x+12)/(x^(2)-y^(2))
then it asks "if:"

Answer 1

`\frac{ {(x - y)}^(2) }{2xy + 6y} * \frac{4x + 12}{ {x}^(2) - {y}^(2) } \\ ((x - y)(x - y))/(2y(x + 3)) * (4(x + 3))/((x - y)(x + y)) \\ ((x - y))/(y) * (2)/((x + y)) \\ (2(x - y))/(y(x + y)) \\ \frac{(2x - 2y)}{(xy + {y}^(2)) }`

(2x-2y)/(xy+y^2) is the right answer.