Question

which identity could be used to rewrite the expression x^9-8 A.Two squares B.difference of squares C. difference of cubes D. quadratic formula

Answer 1

We are given expression :$x^9-8$.

Let us write 8 in factored form.

8 could be factored as 2×2×2.

2×2×2 = $(2)^3$.

Let us convert $x^9$ also in terms of cube of a term.

$x^9$ could be written as the factors of $x^3 \times x^3 \times x^3$.

$x^3 \times x^3 \times x^3 = (x^3)^3$.

Therefore, $x^9-8= (x^3)^3-2^3$.

Which shows the difference of cubes.

Therefore, correct option is C. difference of cubes.

Answer 2

The answer to this question is B) difference of squares