The product of (a + b) (a − b) is a perfect square trinomial. The statement is true
a.) sometimes b.) always c.) never
Answer: (c) never. The statement cannot be true.
Let us proceed step by step
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.