Which expression is equivalent to (z+4)(z−4)?
The expression that is equivalent to (z+4)(z-4) is z^2 - 16.
To find the expression that is equivalent to (z+4)(z-4), we can use the distributive property to expand the expression.
Using the FOIL method (First, Outer, Inner, Last), we multiply the terms together:
First: z * z = z^2
Outer: z * (-4) = -4z
Inner: 4 * z = 4z
Last: 4 * (-4) = -16
Now, we combine the like terms:
(z^2) + (-4z) + (4z) + (-16)
Simplifying the expression further, we have:
z^2 - 16
Therefore, the expression equivalent to (z+4)(z-4) is z^2 - 16.