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Question

Find the squares of the following numbers by visual method:
(i) 52        (ii) 95
(iii) 505     (iv) 702
(v) 99


Solution

a+b)2=a2ab+ab+b2
(i) (52)2=(50+2)2
=2500+100+100+4
=2704


(ii) (95)2=(90+5)2
=8100+450+450+25
=9025


(iii) (505)2=(500+5)2
=250000+2500+2500+25
=255025

 

(iv) (702)2=(700+2)2
=490000+1400+1400+4
=492804

(v) (99)2=(90+2)2
=8100+810+810+81
=9801

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