If A = and A 2 + B 2 = (A + B) 2 , find the value of x. State, whether A 2 + B 2 and (A + B) 2 are always equal or not.

Given, A 2 + B 2 = (A + B) 2 ⇒ x - 1 = 0 ⇒ x = 1. A 2 + B 2 and (A + B) 2 are not always equal. As, By formula, (A + B) 2 = A 2 + B 2 + 2AB. Hence, x = 1.