Question

Simplify (x + y - 2)2 + (x - y +z)2.​

Answer 1

Given:

$(x+y+z)²-(x-y+z)²$

Solution:

$It \: is \: of \: the \: form \: a²-b²=(a+b)(a-b)$

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

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

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

$=4yx+4zy$