simplify X + 2 Y + Z whole square + X - 2 Y + Z whole square
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(x+2y+z)²+(x-2y+z)²
= x²+4y²+z²+4xy+4yz+2xz+ x²+4y²+z²-4xy-4yz+2xz
=2 x²+ 8y²+2z²+4xz
= x²+4y²+z²+4xy+4yz+2xz+ x²+4y²+z²-4xy-4yz+2xz
=2 x²+ 8y²+2z²+4xz
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