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Question
Expand the following:
(−p + 2q + 3r)2
Solution
(−p + 2q + 3r)2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(−p + 2q + 3r)2 = (−p)2 + (2q)2 + (3r)2 + 2(−p)(2q) + 2(2q)(3r) + 2(−p)(3r)
= p2 + 4q2 + 9r2 – 4pq +12qr – 6rp
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