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What is the factored form of x9 + 27?

A.
(x3 − 3)(x6 + 3x3 + 9)
B.
(x3 + 3)(x6 − 3x3 + 9)
C.
(x − 3)3(x6 + 3x3 + 9)
D.
(x + 3)3(x6 − 3x3 + 9)

Sagot :

Abidemiokinidn

The factored form of the expression is [tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]

Sum of squares of variables

The sum of squares of variable a and b is expressed as:

[tex]a^3+b^3=(a + b) (a^2 - ab + b^2 )[/tex]

Given the expression x^9 + 27, this can be written as;

(x³)³ + 3³

where a = x³ and b =3

Substitute

[tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]

This gives the factored form of the expression

Learn more on factoring here: https://brainly.com/question/25829061

#SPJ1

Answer:

(x3 + 3)(x6 − 3x3 + 9)

Step-by-step explanation:

PLATO

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