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Question
Expand the following:
(x - 3y - 2z)2
Sum
Solution
Using (a + b + c)2
= a2 + b2 + c2 + 2ab + 2bc + 2ac
(x - 3y - 2z)2
= x2 + (3y)2 + (2z)2 + 2(x)(-3y) + 2(-3y)(-2z) + 2(x)(-2z)
= x2 + 9y2 + 4z2 - 6xy + 12yz - 4xz.
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