Expand each of the following, using suitable identities:
$(2 x - y + z)^{2}$

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Solution

$(2 x - y + z)^{2}$
$\Rightarrow A^{2} + B^{2} + C^{2} = A^{2} + B^{2} + C^{2} + 2 A B + 2 B C + 2 C A$
$\Rightarrow (4 x^{2} + y^{2} + z^{2} - 4 x z - 2 y z + 4 x z)$

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