Question

Помогите решить первые 2 примера!ОЧЕНЬ НАДО!АЛГЕБРА

Answer 1

$frac{2q}{p+2q} - frac{4 q{2} }{ p^{2}+4pq+4 q^{2} }= frac{2q}{p+2q}- frac{4 q^{2} }{(p+2q) ^{2} }= frac{2pq+4 q^{2}-4 q^{2} }{(p+2q) ^{2} }= frac{2pq}{(p+2q) ^{2} } \\\ frac{2q}{ p^{2}-4 q^{2} } + frac{1}{2q-p}= frac{2q}{(p-2q)(p+2q)} - frac{1}{p-2q}= frac{2q-p-2q}{(p-2q)(p+2q)} = -frac{p}{(p-2q)(p+2q)} \\\ -frac{2pq}{(p+2q) ^{2} }: frac{p}{(p-2q)(p+2q)} =- frac{2pq}{(p+2q) ^{2} }* frac{(p-2q)(p+2q)}{p}=- frac{2q(p-2q)}{p+2q} =$$= frac{2q(2q-p)}{2q+p}$