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Aloiza [94]
2 years ago
6

What is the factored form of this expression? 27m^3 +125n^3

Mathematics
2 answers:
ddd [48]2 years ago
5 0

Answer:

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

Step-by-step explanation:

27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3

Apply sum of cubes formula: x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)

\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

Annette [7]2 years ago
5 0
(3m+5n)(9m^2 - 15mn+25n^2)
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Answer:

The answers would be

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Step-by-step explanation:

To find them, simply treat the word "of" as if it means multiply.

2/3 * 39 = 78/3

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Step-by-step explanation:

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3 years ago
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2 years ago
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There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number
Burka [1]
Let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.

consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

1st even number = 2n
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2(2n) = 2n + 2 + 20

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n = 11

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3 0
3 years ago
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HACTEHA [7]

Answer:

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8 0
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