Simplify $(x-y+z)^2-(x-y-z)^2$.
Answer & explanation
Correct answer: option 1
$(x-y+z)^2-(x-y-z)^2$.
a2 - b2 = (a + b ) (a - b)
= $(x-y+z)^2-(x-y-z)^2$ = (x - y + z + x - y - z )( x - y + z - x + y + z)
= $(x-y+z)^2-(x-y-z)^2$ = (2x - 2y)(2z)
= $(x-y+z)^2-(x-y-z)^2$ = $4 x z-4 y z$