Question

Упростите: (х+1)/(х^2-ху)+(1+у)/(у^2-х^2)

Answer 1

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