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QuestionChoose expressions equivalent to 18m−1218 m-12: 6m−4+6m−4+6m−46 m-4+6 m-4+6 m-4, 12m+6−6m−612 m+6-6 m-6, 6(3m−2)6(3 m-2), 3(6m−4)3(6 m-4), 24n−42+8−6m24 n-4^{2}+8-6 m.

Studdy Solution

STEP 1

Assumptions1. We are looking for expressions equivalent to 18m−1218m -12. . The expressions are equivalent if they simplify to the same expression.

STEP 2

Let's start by simplifying each of the given expressions.
First, simplify the expression 6m−4+6m−4+6m−46m -4 +6m -4 +6m -4.
6m−4+6m−4+6m−4=18m−126m -4 +6m -4 +6m -4 =18m -12

STEP 3

Next, simplify the expression 12m+6−6m−612m +6 -6m -6.
12m+6−6m−6=6m12m +6 -6m -6 =6m

STEP 4

Then, simplify the expression 6(3m−2)6(3m -2).
6(3m−2)=18m−126(3m -2) =18m -12

STEP 5

Next, simplify the expression 3(m−4)3(m -4).
3(m−4)=18m−123(m -4) =18m -12

STEP 6

Finally, simplify the expression 24n−42+8−6m24n -4^{2} +8 -6m.
24n−42+8−6m=24n−16+8−6m=24n−8−6m24n -4^{2} +8 -6m =24n -16 +8 -6m =24n -8 -6m

STEP 7

Now, compare each of the simplified expressions to the original expression 18m−1218m -12.
The expressions 6m−4+6m−4+6m−46m -4 +6m -4 +6m -4, 6(3m−2)6(3m -2), and 3(6m−4)3(6m -4) are equivalent to 18m−1218m -12.
The expressions 12m+6−6m−612m +6 -6m -6 and 24n−42+−6m24n -4^{2} + -6m are not equivalent to 18m−1218m -12.
So, the expressions equivalent to 18m−1218m -12 are 6m−4+6m−4+6m−46m -4 +6m -4 +6m -4, 6(3m−2)6(3m -2), and 3(6m−4)3(6m -4).

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