Question

Evaluate the following products without multiplying directly: 104 × 96

Answer 1

104 ✕ 96 = (100 + 4)(100 - 4)
Using identity, (x + y) (x – y) = $x^2$ – $y^2$
Here x = 100, y = 4

${\left(100\right)}^2$ – ${\left(4\right)}^2$ = 10000 - 16 = 9984

Hence, the value of 104 ✕ 96 is 9984