Jane is making reusable grocery bags and lunch bags. She needs 34yard of material to make a grocery bag. A lunch bag needs 23of the amount of material a grocery bag needs. How much material does she need to make a lunch bag?

(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

the balance is found at the link

step-by-step explanation: