Answer:
[tex]\lparen x^3+3)\left(x^3-3\right)[/tex]
Explanation:
Given the expression
[tex]x^6-9[/tex]
It can be rewritten as
[tex]x^{2\cdot3}-3^2=\lparen x^3)^2-3^2[/tex]
Use the formula
[tex]a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]
to get
[tex]\lparen x^3+3)\left(x^3-3\right)[/tex]
which is the factored form of the given expression.
