kingcarter74
Answered

What is the factorization of 729x15 + 1000?


A.(9x5 + 10)(81x10 – 90x5 + 100)

B.(9x5 + 10)(81x5 – 90x10 + 100)

C.(9x3 + 10)(81x6 – 90x6 + 100)

D.(9x3 + 10)(81x9 – 90x3 + 100)

Verified Answer :

leeandrews2

The answer is A.   Hope that helps

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.

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