Y2 Chapter 4 - Binomial Expansion

Binomial Expansion




Year 2

, (8) 15
=
(1 x)
+
+ x
x - I




:(i) 1"xx + 5x
=




·() Ix + x 102
=




:(5) I x=10x
*




-(i) 1 +x"
x 5x"
=




-() i
+ x
x x
=




1 + 5x 10x + 10 x
+
54"xx5
+

, ( -



3x) (8) 1 ( 3x)
= + x 1
=




() 12(3)
= x -
=
9x



:() 1
x x
(s) 27x
=




()
-


10
+
(- 3a)
x -zix
=




-
1 -
9x + 27- 2Tx




Formula
=
n) x n(n-1)(n 2) re- -




( x) 1
+

+
mx
+ +




3!


+.... "Cx


Yin (xx)" 1 ( 1)(x) (-
)) 2)(x) (41 3/3).....
-
=
-

+
+ -



=


+




6



-1 -
x x"
+
-
x......