Question

For every real number x,y, and z the statement (x-y)z=xz-yz is

Answer 1

true.

Explanation:

(x - y)z = xz - yz

Apply the distributive property of multiplication over addition to the left side:

(x - y)z =

= z(x - y)

= xz - yz

This is the same as the right side, so the statement is true.