The factored form of the expression is [tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]
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
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Answer:
(x3 + 3)(x6 − 3x3 + 9)
Step-by-step explanation:
PLATO
