1.

`(sum_(x,y,z) x)^(2) - (sum_(x,y,z) x^(2))` = ________A. `underset(x,y,z)sum x`B. `2(underset(x,y,z)sum xy)`C. `underset(x,y,z)(pi) xy`D. `2(underset(x,y,z)sum x + y)`

Answer» Correct Answer - B
`(underset(x,y,z)sum x)^(2) - (underset(x,y,z)sum x^(2))`
`= (x +y +z)^(2) - (x^(2) + y^(2) +z^(2))`
`= x^(2) + y^(2) +z^(2) + 2xy + 2yz + 2zx - x^(2) -y^(2) -z^(2)`
`= 2xy + 2yz + 2zx`
`= 2 (underset(x,y,z)sum xy)`


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