1/4 * (m^2) + 4 * m * n + 16 * (n^2)
Объяснение:
( 1/2 * (-m - 8 * n) ) ^ 2 =
( 1/2 * (-m - 8 * n) ) * ( 1/2 * (-m - 8 * n) ) =
1/2 * 1/2 * (-m - 8*n) * (-m - 8 * n) =
1/4 * ( (-m) * (-m) + (-m) * (-8 * n) + (-8 * n) * (-m) + (-8 * n) * (-8 * n) ) =
1/4 * ( (m^2) + 8 * m * n + 8 * m * n + 64 * (n^2) ) =
1/4 * ( (m^2) + 16 * m * n + 64 * (n^2) ) =
1/4 * (m^2) + 1/4 * 16 * m * n + 1/4 * 64 * (n^2) =
1/4 * (m^2) + (16 / 4) * m * n + (64 / 4) * (n^2) =
1/4 * (m^2) + 4 * m * n + 16 * (n^2)
Объяснение:
( 1/2 * (-m - 8 * n) ) ^ 2 =
( 1/2 * (-m - 8 * n) ) * ( 1/2 * (-m - 8 * n) ) =
1/2 * 1/2 * (-m - 8*n) * (-m - 8 * n) =
1/4 * ( (-m) * (-m) + (-m) * (-8 * n) + (-8 * n) * (-m) + (-8 * n) * (-8 * n) ) =
1/4 * ( (m^2) + 8 * m * n + 8 * m * n + 64 * (n^2) ) =
1/4 * ( (m^2) + 16 * m * n + 64 * (n^2) ) =
1/4 * (m^2) + 1/4 * 16 * m * n + 1/4 * 64 * (n^2) =
1/4 * (m^2) + (16 / 4) * m * n + (64 / 4) * (n^2) =
1/4 * (m^2) + 4 * m * n + 16 * (n^2)
Объяснение: