anonymous
  • anonymous
FOILing, do i multiply or add? Like (2x+4)+(2x+4) i add there, right? And (2x+4)*(2x+4) I multiply there, right?
Mathematics
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anonymous
  • anonymous
FOILing, do i multiply or add? Like (2x+4)+(2x+4) i add there, right? And (2x+4)*(2x+4) I multiply there, right?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
yes
anonymous
  • anonymous
I did that in class todya but i didnt get the right answer..
anonymous
  • anonymous
what did you get for the first one?

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anonymous
  • anonymous
(2x+4)+(2x+4) 4x+2x+4+4+2x+4+4 8x+16
anonymous
  • anonymous
hmm
anonymous
  • anonymous
it looks like you are multiplying and adding instead of adding. the parentheses here are unnecessary
amistre64
  • 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
  • anonymous
\[(2x+4)+(2x+4)=2x+4+2x+4=2x+2x+4+4\]
anonymous
  • 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
  • anonymous
I thought it was like this |dw:1327066387934:dw|
anonymous
  • 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
  • anonymous
But wheres the x?
anonymous
  • anonymous
addition is commutative you can remove brackets when you have ONLY addition
anonymous
  • 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
  • amistre64
2x+4 (+) 2x+4 -------- 4x+ 8 2x+4 (x) 2x+4 --------- 8x+16 4xx+8x ----------------- 4x^2+16x+16
anonymous
  • anonymous
Why would it be 4x^2+16x+16?
anonymous
  • 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
  • amistre64
becasue thats what happens when you multiply stuff
anonymous
  • anonymous
Oh ok
anonymous
  • anonymous
so basically just add them up?
anonymous
  • anonymous
2x+4 (+) 2x+4 -------- 4x+ 8
anonymous
  • anonymous
imagine your job was to add \[24+24\]\ what would you do? line them up and add
amistre64
  • amistre64
5+3 = 8 (x) 2+4 = 6 ------------ 20+12 10+6 -------------- 10+26+12 = 48
anonymous
  • anonymous
24 +24 ---- 48
anonymous
  • anonymous
and similarly 2x + 4 + 2x + 4 __________ 4x + 8
anonymous
  • anonymous
Oh! Give me another example?
anonymous
  • anonymous
\[(3x+5)+(4x+1)\]
anonymous
  • anonymous
(3x+5) +(4x+1) -------- 7x+6
anonymous
  • anonymous
that's it!
anonymous
  • anonymous
Yes! :D Thanks

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