Question

Perform the operation and simplify.
(z + 5)(z - 7)

Answer 1

Using the distributive property, you will multiply z by z and -7 and you will multiply 5 by z and -7.
z(z) + z(-7) + 5(z) + 5(-7) = z^2 + -7z + 5z + -35
Now, combine the like terms, which are both z's. -7z + 5z = -2z
So, your answer will be z^2 - 2z -35.