Question

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

Take off all of the words except for the question

Answer 1

WHAT ARE THE OPTIONS GIVEN?

Answer 2

whats the answr

Answer 3

Which expression is equivalent to (z+4)(z−4)?

Answer 4

The options given are:

1. \( z^2 + 4z - 4z - 16 \)
2. \( z^2 + 4z - 4z - 16 \)
3. \( z(z) + 4z(z) - 4(4) \)
4. \( 2z^2 - z^2 - 8 \)
5. \( z^2 - 8z - 16 \)

(Note: Some options appear to be duplicates or have formatting issues.)

Answer 5

To find the expression equivalent to \( (z + 4)(z - 4) \), we can use the difference of squares formula, which states that \( (a + b)(a - b) = a^2 - b^2 \).

Applying this here:
\[
(z + 4)(z - 4) = z^2 - 4^2 = z^2 - 16
\]

Among the options given, none exactly match this form. However, the \( z^2 - 16 \) can be seen as \( z^2 + 4z - 4z - 16 \) in the first option, once simplified.

Thus, the equivalent expression is:
\[
z^2 - 16
\]

The closest answer from the options you provided would be:
1. \( z^2 + 4z - 4z - 16 \) (after simplification, it equals \( z^2 - 16 \)).