We are given expression :[tex]x^9-8[/tex].
Let us write 8 in factored form.
8 could be factored as 2×2×2.
2×2×2 = [tex](2)^3[/tex].
Let us convert [tex]x^9[/tex] also in terms of cube of a term.
[tex]x^9[/tex] could be written as the factors of [tex]x^3 \times x^3 \times x^3[/tex].
[tex]x^3 \times x^3 \times x^3 = (x^3)^3[/tex].
Therefore, [tex]x^9-8= (x^3)^3-2^3[/tex].
Which shows the difference of cubes.
