Squaring Technique

In case of two digit number deduct last digit and add it to another number and then add square of same.

In this technique we simplify the squaring method by making one unit's digit zero. It is far easy to multiply 50*24 than 54*24. So I used this technique.

Let's take some examples 

Find square of 53.

=(53*53)

= (53+3) * (53-3) + (3*3)

=(56*50) + 9

= (560*5) + 9

= 2800 + 9 = 2809   

Let's take another example 

Find square of 69

= (69*69)

= (69+1) * (69-1) + (1*1)

= (70*68) + 1

= (680*7) + 1

= 4761

Let's take one more example

Find square of 45

= (45*45)

= (45-5)*(45+5) + (5*5)

= (40*50) + 25

= 2000+25

= 2025