(a+b+c)²=? find the answer
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Step-by-step explanation:
the formula is
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(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
Explanation
Let a+b= t
Therefore (a+b+c)²=(t+c²)
(t+c)²
=t²+c²+2tc
(on putting t=a+b)
=(a+b)²+c²+2c(a+b)
(using identity (a+b)²=a²+b²+2ab)
=a²+b²+2ab+c²+2ca+2bc
On rearranging the terms
=a²+b²+c²+2ab+2bc+2ca
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