Question

-. If a + b + c = 0 then the value of -
1/(a+b)(b+c)+1/(c+a)(a+b)+1/(b+c)(c+a)
a). O
c). 3
b). 1
d). 2​

Answer 1

Answer:

(a). 0

Step-by-step explanation:

1/(a+b)(b+c)+1/(c+a)(a+b)+1/(b+c)(c+a) {taking LCM}

(c+a)/(a+b)(b+c)(c+a)+(b+c)/(c+a)(a+b)(b+c)+(a+b)/(b+c)(c+a)(a+b)

(c+a)+(b+c)+(a+b)/(a+b)(b+c)(c+a)

c+a+b+c+a+b/(a+b)(b+c)(c+a)

we know that a + b + c = 0

a+b+c+a+b+c/(a+b)(b+c)(c+a) = 0+0/(a+b)(b+c)(c+a)

=0 {anything divided by 0 gives zero}