Q1 of 36 Page 27

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(58)3

(58)3 =(60 – 2)3


(60 – 2)3 =(60)3 – [ 3 ×(60)2 × 2 ] + [ 3 ×(60)×(2)2 ] –(2)3


{ ∵(a – b )3 = a3 – 3a2b + 3ab2 – b3 }


= 216000 – [ 3 × 3600 × 2 ] + [ 3 × 60 × 4 ] – 8


= 216000 – 21600 + 720 – 8


= 195112


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