Question

Write in expanded form (a square+b square+c square)square

Answer 1

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×a+b×b+c×c)×(a×a+b×b+c×c)