Question

For every real number x, y, and z, the statement (x-y)z=xz-yz is ____ true
1)always 2)sometimes 3)never

Answer 1

Test it out with some real numbers to see if you can get an intuition for which answer might be right. Then see if you can figure out a way to prove it using a law of algebra.

Answer 2

sometimes?

Answer 3

If it's true sometimes, that means that sometimes it isn't true. Did you find any numbers that you could plug in to that equation to make it not be true?