Question

What is the factorization of 729x15 + 1000?

Answer 1

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.

Answer 2

The answer is A.   Hope that helps