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Evaluate, using the identities
(i) 505 x 503,
(ii) 37 x 26
(i) 505 x 503 = (500 + 5) (
5
00 + 3)
=
5
00
2
+ (5 + 3) (
5
00) + 5 x 3
= 250000 + 4000 + 15 = 254015
(ii) 37 x 26 = (30 + 7) (30 - 4)
= 30
2
+ (7 - 4) (30) - 7 x 4
= 900 + 90 - 28 = 962
23