Question

which expression is equivalent to $x^6 - 9$?$(x^3)^2 - 3^3LXB0(x^3)^3 - 3^2$done

Explanation:

Step1: Simplify $x^6$ via exponent rule

Recall $(a^m)^n = a^{m \cdot n}$. For $x^6$, $x^6=(x^3)^2$ since $3 \times 2 = 6$.

Step2: Rewrite 9 as a square

$9 = 3^2$, since $3 \times 3 = 9$.

Step3: Match to original expression

Substitute back into $x^6 - 9$: $(x^3)^2 - 3^2$.

Answer:

B. $(x^3)^2 - 3^2$