Question

Using identity,evaluate 297 x303

Answer 1

We have to evaluate (297 × 303)

We can take 297 as (300-3) and 303 as (300+3).

(a+b)(a-b) = a² - ab + ab -b² = a² - b²

So, (297 × 303)

    = (300-3)(300+3)

    = 300²-3²

    = 90000-9

    = 89991

Hence, 297 × 303 = 89991.