Lecture notes
Edexcel AS Mathematics Pure Notes
- Module
- Year 1
- Institution
- PEARSON (PEARSON)
Detailed Notes for the pure topics of edexcel AS Maths course and 1st year of the A Level course from a student who has achieved an A*
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The binomial ex(atb)": a't2abtb2
(at b)3:(atb)Cat b)(a
:(a't2abtb4(a
= astab +2 a
= a3+3926+3
(at b) 4 = fast 3a2b + B
= a" tab +393
= 94+4936 +6 a
I 1
I 2 1
1 3 3 1
Pascal's triangle
1 4 64 1
I 5 10 10 5 1
I 6 15 20 IS 6 1 - R
610 64 662 613 614 665 666 +
- on calculator: in
+ 2 I
• Shift, ÷ 3 1
l 3
• nor
I 4 6 41
• 660,611 10 10 5 I
s
/
column number Shows how many
Row number
ways it's possible to
-1
reach this - 2 term
number
The binomial Exp
(at b) 0= l
(at b)'= atb
(atb)? a' tab
(at b)3= as + 3abt3
(at b) 4: 94 £493b + 60lb'
find row with second
S
value that matehe' (at b) = ast Satb +109364
the power
E.g. Find the first 3 terms o
S
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