Question

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

Answer 1

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