Mathematics
Find the square of:
3a - 2b - 5c
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Answer
(3a - 2b - 5c)2
Using the formula
(∵ (x - y - z)2 = x2 + y2 + z2 - 2xy + 2yz - 2xz)
= (3a)2 + (2b)2 + (5c)2 - 2 (3a) (2b) - 2 (2b) (5c) + 2 (5c) (3a)
= 9a2 + 4b2 + 25c2 - 12ab + 20bc - 30ca
Hence, (3a - 2b - 5c)2 = 9a2 + 4b2 + 25c2 - 12ab + 20bc - 30ca
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