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Mathematics
Problem
Identify the expression for the
(
r
+
1
)
(r+1)
(
r
+
1
)
th term in the expansion of
(
a
+
b
)
n
(a+b)^n
(
a
+
b
)
n
. a)
(
n
r
)
a
r
b
n
−
r
\displaystyle \binom{n}{r} a^{r} b^{n-r}
(
r
n
)
a
r
b
n
−
r
b)
(
n
r
+
1
)
a
n
−
r
b
r
+
1
\displaystyle \binom{n}{r+1} a^{n-r} b^{r+1}
(
r
+
1
n
)
a
n
−
r
b
r
+
1
c)
(
n
r
)
a
n
−
r
b
r
\displaystyle \binom{n}{r} a^{n-r} b^{r}
(
r
n
)
a
n
−
r
b
r
d)
(
n
r
−
1
)
a
n
−
r
+
1
b
r
−
1
\displaystyle \binom{n}{r-1} a^{n-r+1} b^{r-1}
(
r
−
1
n
)
a
n
−
r
+
1
b
r
−
1
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