Question

5000³ + 5000³ + 5000³ - 3 × 5000 × 5001 × 5002 with steps

Note: you cannot square or cube any of the numbers above, you have to cancel out the numbers with identity​

Answer 1

Answer:

Let 5000 be x

Therefore, on substituting, we get:

x³ + x³ + x³ - 3[x × (x + 1) × (x + 2)]

= 3x³ - 3 (x³ + 2x² + 2x)

= 3x³ - 3(x³ + 3x²)

= 3x³ - 3x³ - 9x²

= - (3x)²

On re-substituting, we get:

- (3 × 5000)²

= - (15000)²

= - (225 × 10⁶) or -225000000 ( Ans)

Hope this helped you, cheers :)