Find the square of 1468 by writing this as 1465 + 3.

Using the identity (a + b)² = a² + b² + 2ab

Here, 72² = (1465 + 3)²

= 1465² + 3² + 2×1465×3 ..(i)

Since 1465 terminates with 5,

1465²⇒ 146 × (146 + 1)

= 146 × 147

= 21462

1465² = 2146225

Substituting 1465² in equation (i)

= 1465² + 3² + 2×1465×3

= 2146225 + 9 + 8790

= 2155024