Simplify:
$(x + y + z)^{2} - (x + y + z)^{2}$

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Solution

${(x + y + z)}^{2} - {(x + y + z)}^{2}$
$= (x + y + z + x + y + z) (x + y + z - x - y - z)$ since $(a^{2} - b^{2}) = (a + b) (a - b)$
$= 2 (x + y + z) \times 0 = 0$

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