Question

Simplify :(x+y+z) square - (x-y-z) square

Answer 1

This is in the form of a^2 - b^2 = (a + b) * (a - b)

Thus, (x + y + z)^2 - (x - y - z)^2 = (x + y + z + x - y - z) * (x + y + z - x + y + z)
                                                    = 2x * (2y + 2z)
                                                    = 4xy + 4xz

Thus, (x + y + z)^2 - (x - y - z)^2 = 4xy + 4xz.