Question

evaluate (201)^2 using identities

Answer 1

$(200 + 1) { }^{2} \\ using \: (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} \\ = (200) {}^{2} + 2 \times 200 \times 1 + (1) {}^{2} \\ = 40000 + 400 + 1 \\ = 40401$