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Mastering Binomial Expansion

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Step-by-step guide to the binomial theorem—expansion formulas, Pascal’s triangle and general-term calculations.

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Uploaded on
May 10, 2025
Number of pages
26
Written in
2024/2025
Type
Class notes
Professor(s)
Sir zain
Contains
Binomial expansion

Subjects

Content preview

Atb a Lab tb BINOMIAL P1
atb 4 6 Marks
FOURTH

n 3
atb t



220
12g
Cr
meaning of this symbol is part of St syllabus
Algo E stir


Expand three terms
first
atb ant he an b'than b'the an363
is 12 a 2 t's 2 tic t 2 tx
64 6 132 x t 15 167 2

64 t 192 X t 24022

atb ant he an b'than b'thean363
5
3 22 13 4,1315 211 375 4 2242

243 5181 224 10 27 422
243 810 108075

, at b an t he an bt t he an b'the an363


Expand upto first three terms


n't 2,41 t E 124 227
t
t
t
6401 6 3221074 15 168
I
64212 19229 24076

a Db an t he Ik t
Edith abbey

23 t i x
Ee 4 3 t
3
t 5 I 10 si
Be tf f
t
82 t Sox
33




Ascending Powers of x You do not need
Descending to pay attention
any

, V V V IMPORTANT
TAKE b ve in BINOMIAL FORMULA
12 7 2 E 2756 2 2 x


a b a Zab b2
R 35 12142 x 3 35
Binomformula
For if secondterm is re we take ve
along
For a b a Lab t b we do not take by ve sine the
ve sign is already adjusted


at ant he Itb theft's abt
a by a t a
Gob t
a tb
a t 2 a Eb t 1 1 tb
a Fab t b
R149,07
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