Find the square of the following numbers. 

(i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46

We will be using either one of the formulas to find the square of a number : 

1 ) ${(a+b)}^2= a^2 +2ab +b^2$

2)   ${(a-b)}^2=a^2-2ab +b^2$

(i) 32 

Here 32 = 30 + 2 

${(30 +2 )}^2 ={30}^2+2 (30 ) \left(2\right) +2^2 = 1024$

(ii) 35 

Here 35 = 30 + 5 

${(30 +5 )}^2 ={30}^2+2 (30 ) \left(5\right) +5^2 = 1225$

(iii) 86 

Here 86 = 80 + 6 

${(80 +6 )}^2 ={80}^2+2 (80 ) \left(6\right) +6^2 = 7396$

(iv) 93

Here 93 = 90 + 3 

${(90 +3 )}^2 ={90}^2+2 (90 ) \left(3\right) +3^2 = 8649$

(v) 71 

Here 70 = 70 + 1 

${(70 +1 )}^2 ={70}^2+2 (70 ) \left(1\right) +1^2 = 5041$

(vi) 46

Here 46 = 40 + 6 

${(40 +6 )}^2 ={40}^2+2 (40 ) \left(6\right) +6^2 = 2116$