Question

Formula of (a+b+c)^2.​

Answer 1

Answer:

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Step-by-step explanation:

Let (b + c) = x     

Then (a + b + c)2 = (a + x)2 = a2 + 2ax + x2

                         = a2 + 2a (b + c) + (b + c)2

                         = a2 + 2ab + 2ac + (b2 + c2 + 2bc)

                         = a2 + b2 + c2 + 2ab + 2bc + 2ca

Therefore, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Answer 2

(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac

this is an algebraic identity.

hope this helps you

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