Question

Evaluate (491) square in the form of (a-b) square

Answer 1

Step-by-step explanation:

$(491)^{2} \\ \\ = (500 - 9)^{2} \\ \\ = ( {500})^{2} - 2 \times 500 \times 9 + ( {9})^{2} \\ \\ = 250000 - 9000 + 81 \\ \\ = 16000 + 81 \\ \\ = 16081 \\ \\ \huge\purple{ \boxed{\therefore (491)^{2}= 16081}}$