Question

Evaluate (96)2 using suitable identity

Answer 1

Answer:

$= (96) ^{2} = (100 - 4) ^{2} \\ \\ by \: using \: the \: formula \: \\ \\ (x - y) ^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ here \: x = 100 \\ y = 4 \\ \\ = {100}^{2} + {4}^{2} - 2(100 \times 4) \\ \\ = 10000 + 16 - 2(400) \\ \\ = 10016 - 800 \\ \\ = 9216$