Answer:
We need to find which expressions are equivalent to [tex]6(c+6)[/tex], [tex]6c+6[/tex] or neither.
[tex]6c+12[/tex]: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
[tex]6c+12=+(c+2)[/tex]
Therefore, this expression is equivalent to neither of the given expressions.
[tex]2(3c+3)[/tex]: We just need to apply the distributive property.
[tex]2(3c+3)=6c+6[/tex]
Therefore, this expression is equivalen to [tex]6c+6[/tex].
We use the same process to the other expressions.
[tex](6c)+(6\times 6)=6c+36=6(c+6)[/tex]
[tex]3c+6+3c=6c+6[/tex]
[tex]6c+36=6(c+6)[/tex]
[tex](6+c)+(6+6)=c+18[/tex], equivalent to neither.
