Question

simplify (x+y+z)²-(x-y+z)²​

Answer 1

Answer:

4(XY + YZ)

Step-by-step explanation:

(X^2 + Y^2+ Z^2 + 2YZ + 2ZX + 2XY) = (X+Y+Z)^2

Answer 2

Answer

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

=> $[(x+y+z+x-y+z)(x+y+z-(x-y+z)]$    {∵ a²-b²=(a+b)(a-b) }

=> $(2x+2z)(x+y+z-x+y-z)$

=> $(2x+2z)2y$

=> $4yx+4yz$