Упростите выражение: (7(m-2) - m+2) * 2m^2+4m+8 (----------- ----------) ------------------ (m^3-8 m^2+2m+4) m-3

Question

Accepted Answer

[ (7(m - 2) / (m3 - 8) - (m + 2) / (m2 + 2m + 4) ] * (2m2 + 4m + 8) / (m - 3) =
[ (7(m - 2) / ( (m - 2) * (m2 + 2m + 4) ) - (m + 2) / (m2 + 2m + 4) ] * (2m2 + 4m + 8) / (m - 3) =
[ (7(m - 2) - (m - 2) * (m + 2) / ( (m - 2) * (m2 + 2m + 4) ) ] * (2m2 + 4m + 8) / (m - 3) =
2 * ( (m - 2) * (7 - (m + 2) ) ) / ( (m - 2) * (m2 + 2m + 4) * (m2 + 2m + 4) / (m - 3) )=
 2 * (m - 2) * (5 - m) ) / ( (m - 2) * (m - 3) ) =
2 * (5 - m) / (m - 3).
Ответ: 2 * (5 - m) / (m - 3).

Упростите выражение: (7(m-2) - m+2) * 2m^2+4m+8 (----------- ----------) ------------------ (m^3-8 m^2+2m+4) m-3

Ответы1