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27-02-2018
Mathematics

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Simplify the following expression in your notebook. Select the correct answer. 7 - 3[(n 3 + 8n) ÷ (-n) + 9n 2]

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04-03-2018

Simplify the following:
7 - 3 (9×2 n + (3 n + 8 n)/(-n))

3 n + 8 n = 11 n:
7 - 3 (9×2 n + (11 n)/(-n))

(11 n)/(-n) = n/n×11/(-1) = 11/(-1):
7 - 3 (9 2 n + 11/(-1))

Multiply numerator and denominator of 11/(-1) by -1:
7 - 3 (9 2 n + -11)

9×2 = 18:
7 - 3 (18 n - 11)

-3 (18 n - 11) = 33 - 54 n:
33 - 54 n + 7

Add like terms. 7 + 33 = 40:
40 - 54 n

Factor 2 out of 40 - 54 n:

Answer: 2 (20 - 27 n)

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