Question

упростите выражение ​

Answer 1

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