Question

If a+b+c=abc prove that (1+a²)=(1-ab)(1-ac)​

Answer 1

Answer:

Step-by-step explanation:

Given: a+b+c = abc

To Prove: (1 +a^2) = (1-ab)(1-ac)

Proof:

Considering R.H.S. ,

=  (1 - ab)(1 - ac)

=  (1 - ab - ac + a*abc)

=  (1 - a[b+c] + a[a + b +c])

=  (1 - ab -ac + a^2 + ab +ac)

=  (1 + a^2)

=  L.H.S.

                                Hence Proved