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AS C1 maths textbook question help- binomial expansion

VioletPhillippo

Hi,

I've been practising some textbook questions on binomial expansion but I'm a bit stuck with this one. Please could someone explain how to do it? Thanks :smile:

:smile:

Kevin De Bruyne

Original post by VioletPhillippo

Hi,

I've been practising some textbook questions on binomial expansion but I'm a bit stuck with this one. Please could someone explain how to do it? Thanks :smile:

:smile:

It hasn't been uploaded :redface:

:redface:

VioletPhillippo

OP

Sorry I forgot to attach it :smile:

:smile:

IMG_20151109_153118682.jpg164.2KB

Original post by VioletPhillippo

Sorry I forgot to attach it :smile:

:smile:

the picture is like well blurry ?

VioletPhillippo

OP

Sorry I didn't realise that it was so blurry, I've taken another picture :smile:

:smile:

IMG_20151109_154919602.jpg204.0KB

Original post by VioletPhillippo

Sorry I didn't realise that it was so blurry, I've taken another picture :smile:

:smile:

You can either factor out a factor out a factor of

2^4

to make it equivalent to

\displaystyle 2^4\left(1 + \frac{x}{2}\right)^4

and then use the formula for expanding

a(1+bx)^c

binomials.

Or:

You can use the binomial theorem straight away:

2^4 + {4\choose 1}2^3x^1 + {4\choose 2}2^2 x^2 + \cdots

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