Q.1 Find the square of the following numbers.

(i) 32

(ii) 35

(iii) 86

(iv) 93

(v) 71

(vi) 46

Answers (1)

(i) 32^{2} = (30 + 2)^{2} = 30(30 + 2) + 2(30 + 2)  =  30(32) + 2(32) = 960 + 64 = 1024

 

(ii) 35^{2} = (30 + 5)^{2} = 30(30 + 5) + 5(30 + 5) = 30(35) + 5(35) = 1050 + 175 = 1225

 

(iii) 86^{2} = (80 + 6)^{2} = 80(80 + 6) + 6(80 + 6) = 80(86) + 6(86) = 6880 + 516 = 7396

 

(iv) 93^{2} = (90 + 3)^{2}  = 90(90 + 3) + 3(90 +3) = 90(93) + 3(93) = 8370 + 279 = 8649

 

(v)  71^{2} =  (70 + 1)^{2}  = 70(70 + 1) + 1(70 + 1) = 70(71) + 1(71)  =  4970 + 71 = 5041

 

(vi)   46^{2} = (40 + 6)^{2}= 40(40 + 6) + 6(40 + 6) = 40(46) + 6(46) = 1840 + 276 = 2110

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