Four expressions are shown below: 21x + 6 3(7x + 2) 18x + 9 3(6x + 3) Which two expressions are equivalent to 3(6x + 2 + x)? A and D C and D A and B B and C

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Four expressions are shown below: 21x + 6 3(7x + 2) 18x + 9 3(6x + 3) Which two expressions are equivalent to 3(6x + 2 + x)? A and D C and D A and B B and C

Mathematics
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i believe one of them is C
3(6x + 2 + x) combine like terms
C is 18x+9 what is common factor ?

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Other answers:

I don't think it is C
common factor 6?
GREATEST common factor.
18 and 9 are divisible by 6,3, and ?
9
yes right so take out 9 (????) what would goe in the parentheses ?
when you take out 9 from 18x what will u have left ?
um 6?
in other words you have to divide both terms by common factor |dw:1438796637464:dw|
18x/9= ? 9/9= ?
9 and 1
18x divide by 9 = 9 ?
i really don't know..
oh 2
sorry its 2
2x
yes
|dw:1438796981240:dw| now tell me is it equivalent to 3(6x + 2 + x)?
\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms
Yes its equivalent
nvm its not
yes right
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha \[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms \(\color{blue}{\text{End of Quote}}\) combine them let mek now what you get
i thought its equivalent because 6x3=18 and 6+3=9
you don't have to combine 6+3
distribute parentheses by outside term to check ur answer
first of all 3(6x+2+x) here what are like terms in the parentheses ? combine them you will get one of answer
3 is a like term
no i said in the parenthess
6x
and ?
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha \(\color{blue}{\text{Originally Posted by}}\) @Nnesha \[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms \(\color{blue}{\text{End of Quote}}\) look at that i changed the color of both like terms
x
yes right so combine them 6x+1x=?
7x
yes right so 3(6x+2+x) is 3(7x+2)
now look at the answer choices which one is equivlent to 3(7x+2)
C
alright distribute parenthesses by 3 3(7x+2) = ??? is it equivalent to 18x+9 ?
i know now
A and b because they both = 27
distributive property a(b+c) =a times b + a times c =ab+ac
they both 27 ?
you CAN"T combine 21x+6 they are not LIKE terms
21x is not same as 6 ^^x variable ^without any variable
ok sorry i messed up nvm scratch that
3(7x+2) distribute |dw:1438798106649:dw|
your explanation isn't correct.
3(7x+2) = ??? is it equivalent to 18x+9 ? Yes there equivalent
show your work.
ok
7x+2= 9 3x9=27 18x+9=27 they both equal 27
am i wrong?
first of how did you get 9 how 7x+2 equal to 9 ?
2nd i just told you can't combine a number with variable with number without variable like 18x+9=27 18 have x variable but 9 doesn't so they are not like terms
\[\huge\rm 3(6x+2+x)=3(7x+2)\] so which answer choices is same as 3(7x+2) ?
ok then clearly i am confused on what im doing
21x + 6 it has a variable so you can combine it
do you mean combine 21x and 6 ?
no i mean 3(7x+2) and 21x + 6 they both have a variable so you can combine them
you need two expression that are equivalent to 3(6x+2+x) (same as 3(7x+2) now you can see one of answer choice is 3(7x+2) so 3(7x+2) is equivalent to 3(7x+2)
they both are different equation you don't have to combine them
|dw:1438798858408:dw| 3(7x+2) is same as ??? distribute 7x and 2 by 3
\[\huge\rm \color{ReD}{3}(7x+2)=\color{reD}{3} \times 7x + \color{ReD}{3} \times 2\] = ??
before i do this 7x is just like saying 3x7 right or no?
yes right (3 times 7)x
ok then i got 27
3 times 7x = 27x ?
ok im confused on the x isnt it just 3 x 7 which is 21?
here are some example of like terms 4x+3x=7x 4y+4y= 8y 4x+3 isn't equal to 7x no! you can't combine 4x with 3 they are not like terms
4x+3 is just 4x+3
yes 3 times 7x =21x
3 times 2 = 6 right ? |dw:1438799303607:dw| so 3(7x+2) is equivalent to 21x+6
yes
so 27x is the answer
how ??
ohhh
21x+6 is just 21x+6 you CAN'T combine them they are NOT LIKE terms
http://www.purplemath.com/modules/polydefs2.htm here read
i see im not suppose to do anything after that i was doing 21x+6=27x i thought i had to finish the problem...
no you can't combine 21x+6 its just like making milkshake of mangoes and onion
i see *lightbulb
i wasn't thinking in that way
so can you combine 4z+5y (example ) ??
no because there not like terms
true good!

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