(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^(b2 - c2 + c2 - a2 + a2 - b2) . x-a(b - c) - b(c - a) - c(a – b)

= (x0 x x0)

= (1 x 1) = 1.

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