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kipiarov [429]
2 years ago
7

Which expression is the equivalent to the given expression (3m-4)³(3m³)

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
6 0

Answer:

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

Step-by-step 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.

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2.
makkiz [27]

Answer:2,695

Step-by-step explanation: just add.

3 0
2 years ago
The question is in photos
DedPeter [7]

Answer: 2535

Step-by-step explanation:

use order of operations (parenthesis, exponents, multiplication/division, addition/subtraction)

first ill handle the two innermost parenthesis

(4 + 3(2 - 8))

(4 + 3(-6))

(4 - 18)

-14

now lets move on to the next parenthesis

( 3 - 5^2(-14))

(3 - 25( - 14)

( 3 + 350)

353

now onto the last part of the problem

8^2 + 7 (353)

64 + 2471

2535 :))

3 0
3 years ago
Which equations are related equations to x + 4 = 15?
Setler [38]
First one is wrong bcs it should be smaller than the answer.
The second one is correct bcs to find the second number we need to do inverse operation, here is subtraction.
Third one is correct bcs this is the same (but if u r searching only for relating not same, then the third kind of wrong)
The last one is correct
6 0
3 years ago
Read 2 more answers
The volume of a compound shape . 10 cm & 12 cm .
olga2289 [7]

Answer:

total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Step-by-step explanation:

The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.

volume of cylinder: (pi)(r^2)h

volume of sphere: (4/3)(pi)r^3

total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3

We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.

total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3

total volume = 300pi cm^3 + (250/3)pi cm^3

exact total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

3 0
3 years ago
How many terms are in the expression? 3m + 4m? + 2m + 7
zhenek [66]

Answer:

4 terms

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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