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C4 binomial expansion help

I'm trying to do question 3b on this paper and have looked at the mark scheme but I can't understand what is supposed to happen to the 256 in the question as the answer seems to ignore it.
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10QP.pdf
here is the mark scheme
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10MS.pdf
i have found part a fine
i would appreciate it if anyone could help me get a better understanding of this, thanks :smile:
Original post by sw95
I'm trying to do question 3b on this paper and have looked at the mark scheme but I can't understand what is supposed to happen to the 256 in the question as the answer seems to ignore it.
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10QP.pdf
here is the mark scheme
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10MS.pdf
i have found part a fine
i would appreciate it if anyone could help me get a better understanding of this, thanks :smile:


Part b follows on from part a, in terms of content. So, we want to get our expression into a form similar to that of (1+34x)13\displaystyle\left(1+\frac{3}{4}x\right)^{-\frac{1}{3}}

If we divide the top and bottom of our fraction under the cube root, we have:

2564+3x3=641+34x3=6413(1+34x)13\displaystyle\sqrt[3]{\frac{256}{4+3x}}=\sqrt[3]{\frac{64}{1+\frac{3}{4}x}}=64^{\frac{1}{3}}\left(1+\frac{3}{4}x\right)^{-\frac{1}{3}}

Giving us the "4" in front of the brackets in the MS.
Reply 2
Original post by sw95
I'm trying to do question 3b on this paper and have looked at the mark scheme but I can't understand what is supposed to happen to the 256 in the question as the answer seems to ignore it.
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10QP.pdf
here is the mark scheme
http://www.mathsgeeks.co.uk/allpapers/C4/C4AQAJan10MS.pdf
i have found part a fine
i would appreciate it if anyone could help me get a better understanding of this, thanks :smile:


When I was doing A level maths I used this website all the time:
http://www.examsolutions.net/
It is sooo good, really good videos explaining how to figure out all of the answers etc. it has past papers on there too.
I managed to get an A in C4! All thanks to that website


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Reply 3
Original post by ghostwalker
Part b follows on from part a, in terms of content. So, we want to get our expression into a form similar to that of (1+34x)13\displaystyle\left(1+\frac{3}{4}x\right)^{-\frac{1}{3}}

If we divide the top and bottom of our fraction under the cube root, we have:

2564+3x3=641+34x3=6413(1+34x)13\displaystyle\sqrt[3]{\frac{256}{4+3x}}=\sqrt[3]{\frac{64}{1+\frac{3}{4}x}}=64^{\frac{1}{3}}\left(1+\frac{3}{4}x\right)^{-\frac{1}{3}}

Giving us the "4" in front of the brackets in the MS.


thanks :smile:

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