Expand (3x-2y)^12 using binomial theorem and find coefficient of x^5 y^7 *
Answers
Answered by
2
Step-by-step explanation:
Explanation:
for integers the binomial expansion is
(x+y)n=x n+nC1xn
−
1
y
+
n
C
2
n
n
−
2
y
2
+
...
.
n
C
k
x
n
−
k
y
k
+
...
.
.
y
n
where
n
C
k
=
n
!
k
!
(
n
−
k
)
!
for
(
x
−
3
)
7
the term including
x
5
7
C
2
x
5
(
−
3
)
2
=
7
!
2
!
(
5
!
)
×
9
=
(
7
×
6
×
5
!
2
×
5
!
)
×
9
=
21
×
9
=
189
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0
Answer:
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