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Mila [183]
3 years ago
9

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

Mathematics
1 answer:
Daniel [21]3 years ago
8 0
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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what is the difference between the commutative distributive and associative properties when multiplying?
Fantom [35]
<span>The associative rule is a rule about when it's safe to move parentheses around. You can remember that because the parentheses determine which expressions you have to do first--which numbers can associate with each other. It looks like this:

For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)

The commutative property is about which operations you can do backward and forward. You can remember this by thinking of people commuting to work: they go to work every morning, then they repeat the same operation backward when they commute home. It looks like this:

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Finally, the distributive property tells you what happens when you distribute one operation against another kind in parentheses. It looks like this:

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Of course, you can make these work together:

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= a * (d + (b + c)) (by the commutative property)
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= ad + ab + ac (by the distributive property again).

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