MATHEMATICS FOR IIT-JEE
Binomial theorem
If x and a are real numbers, then for all n Є N
(x+a)
n
=
n
C
0
x
n
a
0
+
n
C
1
x
n-1
a
1
+
n
C
2
x
n-2
a
2
+ ...+
n
C
r
x
n-r
a
r
+ ...+
n
C
n-1
x
1
a
n-1
+
n
C
n
x
0
a
n
(x+a)
n
= (r = 0 to n)Σ
n
C
r
x
n-r
a
r
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