Correct option is B
Given:
(a + b + c)2 - a2-b2-c2
Formula Used:
(a + b + c)2= a2 + b2 + c2 + 2(ab + bc + ca)
Solution:
(a + b + c)2 - a2 - b2 - c2
=a2 + b2 + c2 + 2(ab + bc + ca) - a2 - b2 - c2
=2(ab + bc + ca)
Alternate Method:
Concept: Value putting method
Let a=2 , b=1, c=1
(a + b + c)2 - a2-b2-c2=(2+1+1)2-22-12-12 =16-6=10
Now by checking option (b)
2(ab + bc + ca) = 2 (2×1+1×1+2×1) = 2 (2+1+2) = 2×5 = 10
L.H.S = R.H.S