If is added with , then the new expression is

Given: Two polynomials: and

Required: Two add the given two polynomials

Let f(x) = and g(x) =

Now, f(x) + g(x) = +

⇒ f(x) + g(x) =

⇒ f(x) + g(x) =

⇒ f(x) + g(x) =

⇒ f(x) + g(x) =

⇒ f(x) + g(x) = (∵ a³–b³ = (a–b)(a² + ab + b²))

∴ f(x) + g(x) = a² + ab + b²

That is, the sum of given two polynomials is a² + ab + b²

∴ Correct Option is - Option (A)