Question

Drag each expression to show whether it is equivalent to

Answer 1

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.

$(6c)+(6\times 6)=6c+36=6(c+6)$

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

$6c+36=6(c+6)$

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