How does n/2(4n2) simplify to give n(2n1)?
i thought that to cancel out the n/2, you multiply it by 2, which would give n(8n4)?
Am I just derping? is it as simple as n(8n4), which is then simplified to n(2n1)? Is that possible?
Thanks!
How does n/2(4n2) simplify to give n(2n1)?

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 02102016 18:02

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 02102016 18:06
(Original post by blobbybill)
How does n/2(4n2) simplify to give n(2n1)?
i thought that to cancel out the n/2, you multiply it by 2, which would give n(8n4)?
Am I just derping? is it as simple as n(8n4), which is then simplified to n(2n1)? Is that possible?
Thanks!
Factorise a factor of 2 in (4n2), (4n2) =2(2n1)Last edited by NotNotBatman; 02102016 at 18:08. 
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 02102016 18:09
Ah no, you can't multiply it because it's not a normal equation! You can think about it this way:
n/2(4n2) = (n(4n2))/2 = n x (4n2)/2 = n x (4n/2  2/2) = n x (2n1) = n(2n1)
Hope this made it clearer 
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 02102016 18:09

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 02102016 18:11
(Original post by blobbybill)
I don't understand what you mean. 
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 02102016 18:11
you could look at it as
n* 1/2 *(4n2)
multiply 1/2 by (4n2) and you get 2n1 
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 02102016 18:13
n/2(4n2) = n((4n2)/2) = n(2n1)

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 02102016 18:14
(Original post by StationToStation)
Ah no, you can't multiply it because it's not a normal equation! You can think about it this way:
n/2(4n2) = (n(4n2))/2 = n x (4n2)/2 = n x (4n/2  2/2) = n x (2n1) = n(2n1)
Hope this made it clearer
Are there any other simpler methods?
For example, can you just divide the bracket contents of (4n2) by 2, so that both sides are divided by two? That works in this instance, would it work in every instance though? 
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 02102016 18:15
(Original post by NiamhM1801)
n/2(4n2) = n((4n2)/2) = n(2n1)
For example, can you just divide the bracket contents of (4n2) by 2, so that both sides are divided by two and then the divided by two would cancel out? That works in this instance, would it work in every instance though? Is that a valid method too, or is it just that it happens to work in this instance? 
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 02102016 18:19
(Original post by blobbybill)
Thanks. I understand it now, but that seems like a very long winded method.
Are there any other simpler methods?
For example, can you just divide the bracket contents of (4n2) by 2, so that both sides are divided by two? That works in this instance, would it work in every instance though? 
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 02102016 18:21
(Original post by blobbybill)
Thanks! In addition to this method, are there any other even simpler ways?#
For example, can you just divide the bracket contents of (4n2) by 2, so that both sides are divided by two and then the divided by two would cancel out? That works in this instance, would it work in every instance though? Is that a valid method too, or is it just that it happens to work in this instance? 
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 02102016 18:22
this is an expression not an equation so you can’t multiplyout anything the only thing you can do to an expression is simply if by taking outfactors so just look at the bracket and ask yourself what common factors canyou take out and its a 2 so the 2s cancel and give you the expression you wantof n(2n1) j

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 02102016 20:10
(Original post by Daz0101)
this is an expression not an equation so you can’t multiplyout anything the only thing you can do to an expression is simply if by taking outfactors so just look at the bracket and ask yourself what common factors canyou take out and its a 2 so the 2s cancel and give you the expression you wantof n(2n1) j 
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 02102016 21:48
(Original post by blobbybill)
When you say the twos cancel out, do you mean get rid of the 2 from n/2, and then also divide the bracket by 2 (from 4n2 to give 2n1) ?Last edited by Daz0101; 02102016 at 21:51. 
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 02102016 22:05
(Original post by Daz0101)
yes, that’s it you have it just remember in expressions you can’t divide or multiply terms out you can cancel and simplify that’s it so dont say divide by2 say take a factor of 2 out if you think like that when you see expressionsyou automatically know what to do if you confuse the two by the way you’rethinking about it you will make silly mistakes I used to do that so never say dividefor an expression then you never get the 2 confused hope that helps
If you take out a factor of two, you divide everything by two don't you (because you take a ? if not, how does it work? Whats the difference by taking out a factor of two and dividing by two? 
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 02102016 22:10
(Original post by Daz0101)
yes, that’s it you have it just remember in expressions you can’t divide or multiply terms out you can cancel and simplify that’s it so dont say divide by2 say take a factor of 2 out if you think like that when you see expressionsyou automatically know what to do if you confuse the two by the way you’rethinking about it you will make silly mistakes I used to do that so never say dividefor an expression then you never get the 2 confused hope that helps
With this expression i just described ^^, taking out a factor of x would result in 4 4, whereas if you divided by x, it would go to 4  4/x? Am I right in thinking this? Is this what you mean? 
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 03102016 17:17
(Original post by blobbybill)
OHH, do you mean that by taking out a factor of something, eg, x in the equation 4x 4, you mean that you only take out x where there is an x available, so you don't divide by x?
With this expression i just described ^^, taking out a factor of x would result in 4 4, whereas if you divided by x, it would go to 4  4/x? Am I right in thinking this? Is this what you mean?Last edited by Daz0101; 03102016 at 17:19. 
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 03102016 17:22
(Original post by blobbybill)
i dont get it, I dont understand the difference between dividing and multiplying, and removing/adding factors of a number?
If you take out a factor of two, you divide everything by two don't you (because you take a ? if not, how does it work? Whats the difference by taking out a factor of two and dividing by two?
you would just leave it as is as there are no common factores so the exprestion would not simplify
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Updated: October 3, 2016
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