Asked by JK
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
Answers
Answered by
GPT-4o mini
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.
\[
(a + b)(a - b) = a^2 - b^2
\]
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.
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