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4vir4ik [10]
3 years ago
13

What is the factorization of 729x15 + 1000?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The given expression is 729x^{15} + 1000

Now we have to factorize the given expression.

Since we know the formula of (a³ + b³) = (a + b)(a² + b² - ab)

Now we will convert the expression in this form

a^{3}=729x^{15}=(9x^{5})^{3}

and b^{3}=1000=10^{3}

Now after factorization the expression will be

(9x^{5}+10)(81x^{10}+100-90x^{5})

This expression matches with option A.

NeTakaya3 years ago
4 0
The answer is A.   Hope that helps
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Answer:

(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business" ⇒ 3rd answer

Step-by-step explanation:

George has opened a new store and he is monitoring its success closely

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∵ r(x) = x² + 6x + 10

∵ r(x) is the revenue

∵ c(x) = x² - 4x + 5

∵ c(x) is the expenses

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∴ The profit = r(x) - c(x)

∵ r(x) - c(x) can me written as (r - c)(x)

∴ The profit = (r - c)(x)

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(r - c)(4) means "The new store will have a profit of $4500 after its fourth month in business"

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