Question

4m (в квад)-9m(в квад) ÷ 2am+3an ------------------------------------- M(в квад)n(в квад)÷2mn

Answer 1

$frac{ frac{4m ^{2}-9n ^{2} }{2am+3an} }{ frac{m ^{2} n ^{2} }{2mn} } = frac{4m-6n}{amn} \ \ 1)frac{4m ^{2} -9n ^{2} }{2am+3an} = frac{(2m-3n)(2m+3n)}{a(2m+3n)} = frac{2m-3n}{a} \ \ 2) frac{2m-3n}{a} * frac{2mn}{m ^{2} n ^{2} } = frac{2m-3n}{a} * frac{2}{mn} = frac{4m-6n}{amn}$



$frac{ frac{4m ^{2}-9m ^{2} }{2am+3an} }{ frac{m ^{2} n ^{2} }{2mn} } = - frac{10m}{2amn+3an ^{2} } \ \ 1) frac{4m ^{2} -9m ^{2} }{2am+3an} =- frac{5m ^{2} }{a(2m+3n)} \ \ 2) frac{m ^{2} n ^{2} }{2mn} = frac{mn}{2} \ \ 3)- frac{5m ^{2} }{a(2m+3n)} * frac{2}{mn} =- frac{5m*2}{an(2m+3n)} =- frac{10m}{2amn+3an ^{2} }$