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Let a,b,c, be any real number. Suppose t...

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then
`a^(2)+b^(2)+c^(2)` +2abc is equal to

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Let a, b,c be any real numbers, Supose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z =bx +ay . Then a^2+b^2+c^2+2abc is equal to :

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If x ^(2) + y ^(2) + z ^(2)ne 0, x= cy + bz, y= az +cx, and z= bx + ay, a ^(2) + b ^(2) + c ^(2) + 2 abc is equal to