Me out guys. got stuck over this algebra question

Compare LHS and RHS to prove the statement.

Step-by-step explanation:

Given: a + b + c = 0

We have to show that

We take LCM, simplify the terms and compare LHS and RHS. We will see that LHS = RHS and the statement will be proved.

Taking LCM, we get:

= 1

⇒

We simplify each term and then compare LHS and RHS.

Simplifying the first term:

=

=

Now, we simplify the second term we have:

=

=

Again, simplifying ,

=

= (C)

Therefore, LHS = A + B + C

=

Similarly. RHS

=

Note that if a + b + c = 0,

So, RHS =

We see that LHS = RHS.

Therefore, the statement is proved.