1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Algebra of Limits
What is the b...
Question
What is the binomial theorem?
Open in App
Solution
Binomial theorem:
Binomial theorem describes the algebraic expansion of the power of a binomial.
It is possible to expand any non-negative intergers powers of a binomial.
The binomial theorem is:
(
a
+
b
)
n
=
C
n
0
a
n
b
0
+
C
n
1
a
n
-
1
b
1
+
C
n
2
a
n
-
2
b
2
+
.
.
.
.
.
.
.
.
+
C
n
n
a
0
b
n
.
Using the summation notation, it can be written as
(
a
+
b
)
n
=
∑
r
=
0
n
C
n
r
a
n
-
r
b
r
, where
n
≥
0
,
C
n
r
is always a positive integer.
A Pascal's triangle shows the coefficients for each power of the binomial
Hence, binomial theorem is explained.
Suggest Corrections
0
Similar questions
Q.
Expand using Binomial Theorem .
Q.
Using Binomial theorem, evaluate
(
99
)
5
Q.
What is binomial theorem
Q.
Explain Binomial theorem
Q.
Proof for binomial theorem
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Algebra of Limits
MATHEMATICS
Watch in App
Explore more
Algebra of Limits
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app