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Title: Binomial expansion
Description: Compilation of binomial expansion notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.

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BINOMIAL EXPANSION

expansion

binomial

expansion

binomial

A

raised

is

a

"

b)

+

formula

I ?)

where

an

=

"
=

power

a

general

The

(

to

(

(f) an

+

*

x

)

! (

r

n

r

-

I

sub

for

+

nx

multiply

*

Binomial
it
of

if

is
×

x

is

2x

)

an

-2

containing

two

terms

,

which

expansion
b

'

+

:

(f)

+


...



...



...


In

N)

E

(

'

^

"

at

bath

nln-i¥n

+

or

out

}

+


...



...


(

n

In

-

1)


...



...


r

-

r ti

)

!

)

xr


...



...


expansion
When

1×1

is
L

valid

I

negative
must

end

the
is

×

is


...



...
SI
*

(

g
...


,

of

"

!

n

a

+

expansion

an

-

r

fractiinornegatui
eifn
...


find

simple

then

scn

sometimes

approximations

gets

smaller

ignore

as

large

n

for

complicated

gets

powers

larger
of



functions


...


to

approximate

a

function


Title: Binomial expansion
Description: Compilation of binomial expansion notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.