N^4+9n^3+18n^2
factor each completely
showing steps

n²(n + 3)(n + 6)

Step-by-step explanation:

Take out a common factor of n² from each term

= n²(n² + 9n + 18) ← factorise the quadratic

= n²(n + 3)(n + 6)

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18