Question

数学：化简 (x+y+z)^2—(-x+y+z)^2+(x-y+z)^2-(x+y-z)^2

Answer 1

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

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

=4x(y+z)-4x(y-z)

=8xz