Question

Нужно выражение: m^2 -10m. 6m-64 m^2 - 64. m^2 -64

Answer 1

$\frac{m ^{2}-10m }{m ^{2}-64 }- \frac{6m-64}{m ^{2}-64 }=\frac{(m ^{2}-10m)-(6m-64) }{m ^{2}-64 }= \frac{(m ^{2}-10m-6m+64) }{m ^{2}-64 }= \\ =\frac{(m ^{2}-16m+64) }{m ^{2}-64 }=\frac{(m-8) ^{2} }{m ^{2}-64 }= \frac{(m-8)(m-8)}{(m-8)(m+8)}=\frac{m-8}{m+8}$