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Algebraic Identity 3

Expansion of ...

Question

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

A

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

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B

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

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C

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

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D

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

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Solution

The correct option is A $x^{2} + y^{2} + z^{2} + 2 (x y + y z + z x)$
Use identity
$(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)$

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Algebraic Identity 3

Standard IX Mathematics