Write (2a - b + c)2 in expanded form
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(2a+b-c)^2
(2a)^2+(b)^2-(c)^2+2×2a×b+2×b×-c+2×-c×2a
4a^2+b^2+c^2+4ab-2bc-4ac
that's your answer
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Step-by-step explanation:
a - b + c)2 = [a + (- b) + c]2
= a2 + (-b2) + c2 + 2 (a) (-b) + 2 (-b) (-c) + 2 (c) (a)
= a2 + b2 + c2 – 2ab – 2bc + 2ca
Therefore, (a - b + c)2 = a2 + b2 + c2 – 2ab – 2bc + 2ca
The answer is 4a^2+b^2+c^2-4ab-2bc+2ca.
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