Question

Calculate the square value of $712$ using direct multiplication method.

Answer 1

We can write ${712}^2=(700+12{)}^2$

Using $(a+b{)}^2=a(a+b)+b(a+b)$
Here $a=700,b=12$
Therefore, ${712}^2=700(700+12)+12(700+12)$
$=$ ${700}^2+8400+8400+{12}^2$
$=490000+16800+144$
$=506944$