# The product of (a + b) (a − b) is a perfect square trinomial. The statement is true

# a.) sometimes b.) always c.) never

A trinomial is an algebraic expression that contains 3 non-zero terms. For example (x + y + z) is a trinomial since they are separated by an addition operator.

## Answer: (c) never. The statement cannot be true.

Let us proceed step by step

**Explanation:**

Let us multiply the given algebraic expression (a + b) (a − b)

⇒ (a + b) × (a − b) = a^{2} - ab + ba - b^{2}

⇒ (a + b) × (a − b) = a^{2} - b^{2 } [ - ab + ba = 0 ]

a^{2} - b^{2 } is a binomial since the final expression contains only 2 terms.