Question

Find the square of the number 38 using identify (a+b) =a²+b²+2ab

Answer 1

(a+b)² =a²+b²+2ab

We can take 38 as (30+8)

Here a = 30 and b = 8

According to condition,

(30+8)² = 30²+8²+(2×30×8)

= 900+64+480

= 1444

Hence, (38)² = 1444.