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Expansion of (x+y+z)^2

Expansion of ...

Question

Expansion of $(x + y + z)^{2}$ :

x^{2} + y^{2} + z^{2} + 2 (x y + y z + z x)

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x^{2} + y^{2} + z^{2} - 2 (x y + y z + z x)

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x^{2} + y^{2} + z^{2} - 2 (x y - y z + z x)

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x^{2} + y^{2} + z^{2} + 2 (x y - y z + z x)

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Similar questions

(i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$

(ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$

(iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$

(iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

x^{2} + y^{2} + z^{2} - x y - y z - z x = \frac{1}{2} [(x - y)^{2} + (y - z)^{2} + (z - x)^{2}]

\frac{x^{2} + y^{2} - z^{2} + 2 x y}{x^{2} - y^{2} - z^{2} - 2 y z} .

y^{2} + z^{2} - (y + z) x = 12, x^{2} + z^{2} - (x + z) y = 8,

x^{2} + y^{2} - (x + y) z = 2.

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