Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as
[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
The given expression is
[tex]x^6-27[/tex]
It can be written as
[tex]x^6-3^3[/tex]
Using the property of exponent, the above expression can be written as
[tex](x^2)^3-3^3[/tex] [tex][\because (x^m)^n=x^{mn}][/tex]
This is a difference of cubes.
Therefore the correct option is 1.
