Question

Упростите выражение.

Answer 1

$a^2-b^2=(a-b)(a+b) \\ \\ \frac{x+y}{yx} * \frac{3yx}{2x^2-2y^2} = \frac{x+y}{yx} * \frac{3*yx}{2(x^2-y^2)} = \frac{x+y}{1} * \frac{3*1}{2(x-y)(x+y)} =\frac{1}{1} * \frac{3*1}{2(x-y)} = \\ = \frac{3}{2(x-y)} = \frac{3}{2x-2y}$