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2 votes
Drag each expression to show whether it is equivalent to

6(c+6), 6c+6, or neither.

6c+12

2(3c+3)

(6⋅c)+(6⋅6)

3c+6+3c

6c+36

(6+c)+(6+6)


6(c+6) 6c+6 Neither

2 Answers

5 votes

We can drag each expression to show whether it is equivalent to 6(c+6), 6c + 6, or neither as follows

2(3c+3)

3c+6+3c

What is the equivalent expression?

Equivalent expressions are expressions that have the same value for all possible values of the variables they contain.

The equivalent expression is the one that is equal to the original expression. So, the value we have is 6(c+6), 6c + 6. The expressions that mean the same thing are

2(3c+3), simplified as 6c + 6 and

3c+6+3c simplified as 3c + 3c + 6

= 6c + 6

User CuriousLearner
by
4.7k points
4 votes

Answer:

We need to find which expressions are equivalent to
6(c+6),
6c+6 or neither.


6c+12: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.


6c+12=+(c+2)

Therefore, this expression is equivalent to neither of the given expressions.


2(3c+3): We just need to apply the distributive property.


2(3c+3)=6c+6

Therefore, this expression is equivalen to
6c+6.

We use the same process to the other expressions.


(6c)+(6* 6)=6c+36=6(c+6)


3c+6+3c=6c+6


6c+36=6(c+6)


(6+c)+(6+6)=c+18, equivalent to neither.

User Neil Mackenzie
by
4.5k points