Question

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

Answer 1

\[(2 x+y+z)^2-(x-2 y+z)^2 \]\[4 x^2-x^2+4 x y+4 x y+4 x z-2 x z-4 y^2+y^2+4 y z+2 y z+z^2-z^2 \]\[3 x^2+8 x y+2 x z-3 y^2+6 y z \]\[(x+3 y) (3 x-y+2 z) \]