Expand using appropriate identity: (3 a-7 b-c)^2 - Vidyadip

Question

Expand using appropriate identity: $(3 a-7 b-c)^2$

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Answer

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

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