Solve the equation and check the solution Identify any extra

Solve the equation and check the solution. Identify any extraneous solutions. A^2/a + 1 - 1/a + 1 = a

a²/(a +1) - 1/(a +1) = a

==> (a² - 1)/(a + 1) = a

==> a² - 1 = a(a + 1)

==> a² - 1 = a² + a

==> a = -1

but a = -1 ==> denominator of the given expression becomes zero.

==> equation is undefined. Hence no solution exists.

Extraneous solution is that solution which is not in the domain of the given equation.

==> Extraneous solution for given equation is a = -1.