Question

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)

Answer 1

The answer is A.   Hope that helps

Answer 2

Option A.

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.