Question

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

Answer 1

Step-by-step explanation:

Evaluate : (x+y+z)2 = x2+2xy+2xz+y2+2yz+z2

: (x-y-z)2 = x2-2xy-2xz+y2+2yz+z2

Pull out like factors :

2x2 + 2y2 + 4yz + 2z2 =

2 (x2 + y2 + 2yz + z2)

Final result :

2 (x2 + y2 + 2yz + z2)..

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