FOILing, do i multiply or add?
Like (2x+4)+(2x+4)
i add there, right? And
(2x+4)*(2x+4)
I multiply there, right?

- anonymous

- jamiebookeater

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- anonymous

yes

- anonymous

I did that in class todya but i didnt get the right answer..

- anonymous

what did you get for the first one?

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## More answers

- anonymous

(2x+4)+(2x+4)
4x+2x+4+4+2x+4+4
8x+16

- anonymous

hmm

- anonymous

it looks like you are multiplying and adding instead of adding.
the parentheses here are unnecessary

- amistre64

when it says to add, I would add.
and when it says to multiply, id multiply.
but thats just me set in my ways :)

- anonymous

\[(2x+4)+(2x+4)=2x+4+2x+4=2x+2x+4+4\]

- anonymous

let's imagine for a moment that x was ten (x is a variable, but it could be ten)
then
\[2x+4=2\times 10+4=24\] and
\[24+24=48\]

- anonymous

I thought it was like this
|dw:1327066387934:dw|

- anonymous

multiplication distributes over addition. so if you had
\[(2x+4)(2x+4)\] you would use the distributive law, just like if you had
\[24\times 24\]

- anonymous

But wheres the x?

- anonymous

addition is commutative you can remove brackets when you have ONLY addition

- anonymous

but addition is the same as "combine like terms" just as you would with arithmetic
24
+ 24
______
48
2x + 4
+ 2x + 4
__________
4x + 8

- amistre64

2x+4
(+) 2x+4
--------
4x+ 8
2x+4
(x) 2x+4
---------
8x+16
4xx+8x
-----------------
4x^2+16x+16

- anonymous

Why would it be 4x^2+16x+16?

- anonymous

@inopeki i was making an analogy. the work you do with variables is a generalization of the work you do in arithmetic, and if it doesn't work with arithmetic it certainly doesn't work with variables, because the variable could be a number, that is you could replace the variable by a number

- amistre64

becasue thats what happens when you multiply stuff

- anonymous

Oh ok

- anonymous

so basically just add them up?

- anonymous

2x+4
(+) 2x+4
--------
4x+ 8

- anonymous

imagine your job was to add
\[24+24\]\ what would you do? line them up and add

- amistre64

5+3 = 8
(x) 2+4 = 6
------------
20+12
10+6
--------------
10+26+12 = 48

- anonymous

24
+24
----
48

- anonymous

and similarly
2x + 4
+ 2x + 4
__________
4x + 8

- anonymous

Oh!
Give me another example?

- anonymous

\[(3x+5)+(4x+1)\]

- anonymous

(3x+5)
+(4x+1)
--------
7x+6

- anonymous

that's it!

- anonymous

Yes! :D Thanks

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