Those are the options they are the same for all of them

Can someone pls help me ttm

1. Teresa's expression s not equivalent   because she did not multiply -7 and -4 correctly.

2. Bernette's expression is not an equivalent because she should multiply before subtracting.

3. Lucy's expression is equivalent because she distributed correctly.

Step-by-step explanation:

By definition, equivalent expression have the same value but they look different.

You can find equivalent expressions of any expression by simplifying.

In this case you have the following expression:

Then, you know that:

1. Teresa's answer  is:

This is not an equivalent expression , because she did not multiply -7 and -4 correctly.

Remember that:

2. Bernette's answer is:

This is not an equivalent expression, because she should multiply before subtracting (She should apply the procedure Teresa applied)

3. Lucy's answer is:

This is an equivalent expression , because she distributed correctly (She multiplied each term inside the parentheses by -7)

Therefore, you can find an equivalent expression for the given expression by applying the Distributive property. Then:

(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