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Question
Write in the expanded form:
`(a + 2b + c)^2`
Solution
We have `(a + 2b + c)^3`
`= a^2 + (2b)^2 + (c)^2 + 2(a)(2b) + 2ac + (2b)2c`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`∴ (a + 2b + c)^2 = a^2 + 4b^2 + c^2 + 4ac + 2ac + 4bc`
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