If n is a whole number greater than 1, then n^2(n^2 - 1)

• Numbers

If n is a whole number greater than 1, then n²(n² - 1) is always divisible by

1. 12
2. 24
3. 48
4. 60

Answer

Put n = 2, n²(n² - 1) = 2²(2² - 1) = 4 × 3 = 12, divisible by 12

Put n = 3, n²(n² - 1) = 3²(3² - 1) = 9 × 8 = 72, divisible by 12

So, n²(n² - 1) is always divisible by 12.

The correct option is A.