Cube of 584
2026-02-28 10:53 Diff

The binomial formula (a + b)³ is used to find the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 584 into two parts. Let a = 500 and b = 84, so a + b = 584

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term:

a³ = 500³

3a²b = 3 × 500² × 84

3ab² = 3 × 500 × 84²

b³ = 84³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(500 + 84)³ = 500³ + 3 × 500² × 84 + 3 × 500 × 84² + 84³

Step 5: Calculate each part and sum them up:

500³ = 125,000,000 3 × 500² × 84 = 63,000,000 3 × 500 × 84² = 10,584,000 84³ = 592,704

Summing these gives: 125,000,000 + 63,000,000 + 10,584,000 + 592,704 = 199,383,104

Hence, the cube of 584 is 199,383,104.