Question

Решите данный пример

Answer 1

По действиям:

1) $frac{3x}{(x-y)( x^{2} +xy+ y^{2} )} * frac{( x^{2} +xy+ y^{2} )}{x+y} = frac{3x}{(x-y)(x+y)}$

2)  $frac{3}{x-y} + frac{3x}{(x-y)(x+y)} = frac{3x+3y+3x}{(x-y)(x+y)} = frac{6x+3y}{(x-y)(x+y)}$

3) $frac{3(2x+y)}{(x-y)(x+y)} * frac{ (x+y)^{2} }{(2x+y)} = frac{3(x+y)}{(x-y)}$

4) $frac{3(x+y)}{(x-y)} * frac{3}{(x+y)} = frac{9}{(x-y)}$

Ответ. $frac{9}{(x-y)}$