Question

Спростіть вираз $(frac{m-4p}{m^{2}+4mp}-frac{m+4p}{ m^{2}-4mp})$×$frac{16p^{2}-m^{2}}{2p^{2}}$

Answer 1

1)(m-4p)/m(m+4p)-(m+4p)/m(m-4p)=
=(m²-8mp+16p²-m²-8mp-16p²)/(m-4p)(m+4p)m=-16mp/(m-4p)(m+4p)m=
=-16p//(m-4p)(m+4p)
2)-16p/(m-4p)(m+4p)*(4p-m)(4p+m)/2p²=8/p