Question

simplify (x+y+z)²-(x+y-z)²

Answer 1

(x+y+z)^2-(x+y-z)^2

(x+y+z+x+y-z)(x+y+z-x-y+z)

(2x+2y)(2z)

2z(2x+2y)

Answer 2

Step-by-step explanation:

(x+y+z)^2 - (x+y-z)^2

=(x^2 + y^2 +z^2 +2xy +2yz +2xz) - ( x^2 +y^2 +z^2 +2xy - 2yz -2xz)

= 4yz + 4xz

=4z ( x +y)