Which expression is equivalent to (z+4)(z−4) ?(1 point) Responses z2−8z−16 z squared minus 8 z minus 16 2z2−z2−8

Answer 1

The expression \((z + 4)(z - 4)\) can be simplified using the difference of squares formula, which states that:

\[ (a + b)(a - b) = a^2 - b^2 \]

In this case, \(a = z\) and \(b = 4\). So:

\[ (z + 4)(z - 4) = z^2 - 4^2 = z^2 - 16 \]

Thus, the equivalent expression is \(z^2 - 16\).

None of the options you've provided directly match this expression, but if the question requires choosing from the given responses, please confirm if there may be a mistake in the provided options or if there is any additional context.