Find the squares of the following numbers using the identity

(i) 395 (ii) 995


(iii)495 (iv) 498


(v) 99 (vi) 999


(vii)599


(i) 395


395 = (400 – 5)2


= (400)2 + 52 – 2 (400) (5)


= 160000 + 25 – 4000


= 156025


(ii) 995


995 = (1000 – 5)2


= (1000)2 + 52 – 2 (1000) (5)


= 1000000 + 25 – 10000


= 990025


(iii)495


495 = (500 – 5)2


= (500)2 + 52 – 2 (500) (5)


= 250000 + 25 – 5000


= 245025


(iv) 498


498 = (500 – 2)2


= (500)2 + 22 – 2 (500) (2)


= 250000 + 4 – 2000


= 248004


(v) 99


99 = (100 – 1)2


= (100)2 + 12 – 2 (100) (1)


= 10000 + 1 – 200


= 9799


(vi) 999


999 = (1000 – 1)2


= (1000)2 + 12 – 2 (1000) (1)


= 1000000 + 1 – 2000


= 998001


(vii)599


(600 – 1)2


= (600)2 + 12 – 2 (600) (1)


= 360000 + 1 – 1200


= 358801


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