Using identity $(a + b)^{2} = (a^{2} + 2 a b + b^{2})$ Evaluate (i) $(609)^{2}$ (ii) $(725)^{2}$

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Solution

(i) $(609)^{2} = (600 + 9)^{2} = (600)^{2} + 2 \times 600 \times 9 + (9)^{2} = 360000 + 10800 + 81 = 370881$
(ii) $(725)^{2} = (700 + 25)^{2} = (700)^{2} + 2 \times 700 \times 25 + (25)^{2} = 490000 + 35000 + 625 = 525625$

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