Question

-
Which expression is equivalent to (z + 4) (z − 4)?
(1 point)
z² - 8z - 16
2z2z² - 8
-
z² + 4z − 4z – 16
-
-
z(2) + 42(z) − 4(4)

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 \(b = 4\):

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

So, the simplified expression is \(z^2 - 16\).

None of the provided options appear to match this directly, but the equivalent expression is:

\[
\boxed{z^2 - 16}
\]