Find the products using the algebraic identities.
104 x 109
104 x 109 = (100 + 4)(100 + 9)
Using identity -
(x + a)(x + b) = x2 + (a + b)x + ab, we get –
Take 104 = 100 + 4 and 109 = 100 + 9
104 x 109 = 1002 + (4 + 9)100 + 4× 9
= 10000 + 1300 + 36
= 11336