Which expression is equivalent to (z+4)(z−4)?( 1 point)
Responses
2z2-z2-8
2 from squared minus from squared minus 8
Z2+4z-4z−16
With squared plus 4 with minus 4 with 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
Z2-8z−16
The expression equivalent to (z+4)(z-4) is z^2 - 8z - 16.
The expression equivalent to (z+4)(z-4) is z^2-8z-16.
To simplify the expression (z+4)(z-4), we can use the distributive property.
First, distribute the z to both terms inside the parentheses:
z * z = z^2
z * -4 = -4z
Next, distribute the 4 to both terms inside the parentheses:
4 * z = 4z
4 * -4 = -16
Combine the like terms:
z^2 - 4z + 4z - 16
Simplify further:
The -4z and +4z terms cancel each other out, leaving us with:
z^2 - 16
So the equivalent expression is z^2 - 16.