Laura mistakenly found that the expression 4x − 6y is equivalent to the expression 12x − 18y − 4(2x + 3y). Her work is shown. Find and correct Laura’s mistake. Use the properties of operations to correctly simplify 12x − 18y − 4(2x + 3y) to two terms.

Step-by-step explanation:

(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

answer: 20

step-by-step explanation: