Q14 of 227 Page 114

On dividing by is equal to

Given: Two polynomials and

Required: Divide by

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

Now,

⇒

⇒ (∵ a²–b² = (a–b)(a + b))

⇒

∴ Quotient when f(x) is divided g(x) we get is: (x-5)(x-3)

∴ Correct Option is - Option (A)

The lowest form of the rational expression is

If and are the two rational expressions, then their product is

If is added with , then the new expression is

The square root of 49 (x² – 2x + y²)² is