Find the squares of the following numbers by visual method:
(i) 52 (ii) 95
(iii) 505 (iv) 702
(v) 99
(i) 52, (52)2 = (50 + 2)2
= 502 + 22 + (2 × 50 × 2)
= 2500 + 4 + 200
= 2704
(ii) 95, (95)2 = (100 - 5)2
= 1002 + 52 - (2 × 5 × 100)
= 10000 + 25 - 1000
= 9025
(iii) 505, (505)2 = (505 + 5)2
= 5002 + 52 + (2 × 500 × 5)
= 250000 + 25 + 5000
= 255025
(iv) 702, (702)2 = (700 + 2)2
= 7002 + 22 + (2 × 700 × 2)
= 140000 + 4 + 2800
= 142804
(v) 99, (99)2 = (100 - 1)2
= 1002 + 12 - (2 × 100 × 1)
= 10000 + 1 - 200
= 9301