Вопрос:

789. Выполните действия.

Ответ:

a) 1/2(10m - 1)^2 - 20m = 1/2(100m^2 - 20m + 1) - 20m = 50m^2 - 10m + 0.5 - 20m = 50m^2 - 30m + 0.5 б) 24k - 2/3(3k + 4)^2 = 24k - 2/3(9k^2 + 24k + 16) = 24k - 6k^2 - 16k - 32/3 = -6k^2 + 8k - 32/3 в) 0.5(2p + 1/2)^2 - 1/4p = 0.5(4p^2 + 2p + 1/4) - 1/4p = 2p^2 + p + 1/8 - 1/4p = 2p^2 + 3/4p + 1/8 г) 3c + 1/3(3/4c - 2)^2 = 3c + 1/3(9/16c^2 - 3/2c + 4) = 3c + 3/16c^2 - 1/2c + 4/3 = 3/16c^2 + 5/2c + 4/3

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