Question

find the value of 207×193 using appropriate algebraic identity

Answer 1

(200+7) (200-7)
200square-7square
40000-49
39951

Answer 2

$(a + b)(a - b) = {a}^{2} - {b}^{2} \\ ( 200 + 7)(200 - 7) = {200 }^{2} - {7}^{2} \\ = 40000 - 49 \\ = 39951$