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11 votes
11 votes
Which expression is the equivalent to the given expression


(3m-4)³(3m³)

User Lexington
by
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2 Answers

18 votes
18 votes

Answer: see answer below :))

Explanation:

Which expression is the equivalent to the given expression (3m-4)³(3m³)-example-1
User Gab Ledesma
by
3.2k points
22 votes
22 votes

Answer:

81m^6 - 323 m^5 + 432m^4 - 192m^3

Explanation:

Comment

If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.

The general formula for expanding a binomial raised to the third power is

(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3

Solution

To modify the general formula to suit this problem, let

a = 3m

b = - 4

When that is done, the general equation becomes

(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3

(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64

Multiply everything in the 4-nomial by 3m^3

(27m^3 - 108 m^2 + 144m - 64)3m^3

81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.

User Ridalgo
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2.8k points