explain identity (a+b+c)^2
mukunth1:
plz say the relationship between this and a^2+..........
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(a + b + c)2
= (a + b + c)(a + b + c)
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a2 + ab + ac + ba + b2 + bc + ca + cb + c2
Adding like terms, the final formula (worth remembering) is
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
= (a + b + c)(a + b + c)
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a2 + ab + ac + ba + b2 + bc + ca + cb + c2
Adding like terms, the final formula (worth remembering) is
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
Answered by
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a^2+b^2+c^2+2ab+2cb+2bc
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