which expression is equivalent to 64 - 9x²?\n(32)² - (3x)²\n(32)² + (-3x)²\n(8)² - (3x)²\n(8)² + (-3x)²

Explanation:

Step1: Analyze the square - root of 64

We know that $\sqrt{64}=8$, so $64 = 8^{2}$.

Step2: Analyze the square - root of $9x^{2}$

Since $\sqrt{9x^{2}} = 3x$ (because $\sqrt{9}=3$ and $\sqrt{x^{2}}=x$), then $9x^{2}=(3x)^{2}$.

Step3: Rewrite the original expression

The expression $64 - 9x^{2}$ can be rewritten as $(8)^{2}-(3x)^{2}$.

Answer:

C. $(8)^{2}-(3x)^{2}$