Question

expansion formula
(58)3​

Answer 1

Step-by-step explanation:

(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