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) = a² - ab + ba - b²

⇒ (a + b) × (a − b) = a² - b²  [ - ab + ba = 0 ]

a² - b²  is a binomial since the final expression contains only 2 terms.

Therefore, the product of (a + b) (a − b) is not a perfect square trinomial.