Solve the equation, `(x - ab)/(a + b) + (x - bc)/(b + c) + (x - ca)/(c + a)= a + b + c`.
What happens if `1/(a + b) + 1/( b + c) + 1/(c + a) = 0 `

If a - (1/a) = b, b - (1 / b) = c and c - (1 / c) = a then what is the value of (1 / ab) + (1 / bc) + (1 / ca) ?

Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a+b+c!=0.

Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a+b+c!=0.

Prove that x^((b-c)/(bc)) x^((c-a)/(ca)) x^((a-b)/(ab))=1

If a-(1//a) = b, b-(1//b) =c and c - (1//c) = a , then what is the value of (1//ab) + (1//bc) + (1//ca) ? यदि a-(1//a) = b, b-(1//b) =c तथा c - (1//c) = a है, तो (1//ab) + (1//bc) + (1//ca) का मान क्या है?

Prove that: {:|(bc,a,1),(ca,b,1),(ab,c,1)| = (a-b)(b-c)(a-c)

Prove that: {:|(1,1,1),(a,b,c),(bc,ca,ab)| = (a-b)(b-c)(c-a)

Let X = A . bar (BC) . Evaluate X for (a) A = 1 , B = 0 , C = 1 , (b) A = B = C = 1 and ( c) A = B = C = 0.