Expand each of the following, using suitable identities:
$(3 a - 7 b - c)^{2}$

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Solution

$(3 a - 7 b - c)^{2}$
$A^{2} + B^{2} + C^{2} + 2 A B + 2 B C + 2 C A$
$\Rightarrow 9 a^{2} + 49 b^{2} + c^{2} - 42 a b + 14 b c - 6 a c$

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