kingcarter74
contestada

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)

Respuesta :

leeandrews2
The answer is A.   Hope that helps

Answer:

Option A.

Step-by-step explanation:

The given expression is [tex]729x^{15} + 1000[/tex]

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

[tex]a^{3}=729x^{15}=(9x^{5})^{3}[/tex]

and [tex]b^{3}=1000=10^{3}[/tex]

Now after factorization the expression will be

[tex](9x^{5}+10)(81x^{10}+100-90x^{5})[/tex]

This expression matches with option A.