Question

What is the square of the number $108$ using direct multiplication method?

Answer 1

We can write ${108}^2=(100+8{)}^2$

Using $(a+b{)}^2=a(a+b)+b(a+b)$
Here $a=100,b=8$
Therefore, ${108}^2=100(100+8)+8(100+8)$
$=$ ${100}^2+800+800+8^2$
$=10000+1600+64$
$=11664$