Simplify the following expression: (a + 2b - c)(b - c) + 2b(a - c) + b2
3b2 + c2 + 3ab - 5bc - ac
The correct answer is Option 1 i.e. 3b2 + c2 + 3ab - 5bc - ac.
(a + 2b - c)(b - c) + 2b(a - c) + b2
⇒ b(a + 2b - c) - c(a + 2b - c) + 2ab - 2bc + b2
⇒ ba + 2b2 - bc - ca - 2bc + c2 + 2ab - 2bc + b2
⇒ 3b2 + c2 + 3ab - 5bc - ac
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