Question

Упростите выражение!!!!! Прошу .....

Answer 1

1) $frac{2x+y}{xy(2x-y)}- frac{2}{y(y+2x)} = frac{(2x+y)(2x+y)-2x(2x-y)}{xy(2x-y)(2x+y)}= \ = frac{4 x^{2} +4xy+y ^{2}-4 x^{2} +2xy }{xy(2x-y)(2x+y)}=frac{6xy+y ^{2} }{xy(2x-y)(2x+y)}=frac{y(6x+y) }{xy(2x-y)(2x+y)}$

2)$frac{y(6x+y) }{xy(2x-y)(2x+y)}cdot frac{x(4 x^{2} -y ^{2} )}{(6x+y)^{2} } = frac{1}{6x+y}$