(2a)/(a+b)+(2b)/(b+c) + (2c)/(c+a) + ((b-c)(c-a)(a-b))/((b+c)(c+a)(a+b))equals

Question

\(\frac{2a}{a+b}+\frac{2b}{b+c}+\frac{2c}{c+a}+\frac{(b-c)(c-a)(a-b)}{(b+c)(c+a)(a+b)}\) equals

(a) 0 

(b) –1 

(c) 3 

(d) 2

Answer 1

(c) 3

Given expression

= \(\frac{2a(b+c)(c+a)+2b(a+b)(c+a)+2c(a+b)(b+c)}{(a+b)(b+c)(c+a)}+\frac{(b-c)(c-a)(a-b)}{((b+c)(c+a)(a+b)}\)