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  1. Solution : 

    (a) (503)2
    = (503)2 = (500 + 3)2
    = (500)2 + 2.500.3 + (3)2
    = 250000 + 3000 + 9
    = 253009

    (b) (8.7)2 – (1.3)2
    = (87 + 1.3) (87 – 1.3)
    = 10 × 7.4
    = 74

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