(xb/xc)(b + c - a) . ( xc/ xa) (c + a - b) . (xa / xb)(a + b - c) = ?

A xabc

B 1

C xab + bc + ca

D xa + b + c

Solution

Correct Answer: Option B

x(b - c)(b + c - a) .  x(c - a)(c + a - b) .  x(a - b)(a + b - c)

= x(b - c)(b + c) - a(b - c)  .  x(c - a)(c + a) - b(c - a) .  x(a - b)(a + b) - c(a - b)

= x(b^2 - c^2 + c^2 - a^2 + a^2 - b^2)  .  x-a(b - c) - b(c - a) - c(a – b)

= (x0 . x0)

= (1 x 1)

= 1

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