Add: $2 x^{2} - 4 y^{2} - z^{2}, 8 x^{2} + 5 y^{2} + 4 z^{2}, 5 x^{2} - 5 y^{2} + 2 z^{2}$

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Solution

Say $A = 2 x^{2} - 4 y^{2} - z^{2}$
$B = 8 x^{2} + 5 y^{2} + 4 z^{2}$
$C = 5 x^{2} - 5 y^{2} + 2 z^{2}$

$A + B + C = 15 x^{2} - 4 y^{2} + 5 z^{2} .$

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