Mark the correct alternative in each of the following: If a binary operation * is defined by a * b = a 2 + b 2 + ab + 1, then (2 * 3) * 2 is equal to

Question

Philoid · Accepted Answer

Given a * b = a² + b² + ab + 1

⇒ (2 * 3) * 2 = [(2² + 3² + 2.3 + 1)]*2

⇒ [(2² + 3² + 2.3 + 1)]*2 = 20 * 2

⇒ 20 * 2 = 20² + 2² + 20.2 + 1 = 445