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)

Option A.

Step-by-step explanation:

The given expression is

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

and

Now after factorization the expression will be

This expression matches with option A.