Question

Expand........
(58)3​

Answer 1

Answer:

(58)

=(60-2)³

=(60)³-3(60)²(2)+3(60)(2)³-(2)³

=216000-21600+720-8

=195112

Answer 2

Answer:

Let us simplify the expression, we get

(58)3 = (60 – 2)3

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

By using the formula,

(a – b)3 = a3 – 3a2b + 3ab2 – b3

Here, a = 60, b = -2

Now, substitute the value we get

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

= 216000 – 21600 + 720 – 8

= 195112

∴ (58)3 = (60 – 2)3 = 195112