Yuuma applied the steps below to find the product of (–10.2)(–16.4). step 1: (–10.2)(–16.4) = (–16.4)(–10.2) step 2: = (–16.4)(–10) + (–16.4)(–0.2) step 3: = step 4: = 167.28 which expression correctly fills in the blank in step 3?

The answer you want is going to be 164+3.28

Step 3 is            

Step-by-step explanation:

Given : Yuuma applied the steps below to find the product of (–10.2)(–16.4).

To find : Which expression correctly fills in the blank in Step 3?

Solution :

The given expression is  

Step 1 : Write the expression,

Step 2: Distribute 10.2 into two parts 10+0.2

Step 3: Simplify the multiplication,

Step 4: Add the terms

Therefore, Step 3 is

(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