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Mathematics
Mathematics
Problem
Find (i) the coefficient of
x
7
x^7
x
7
in the expansion of
(
a
x
2
+
1
b
x
)
11
\left(ax^2 + \frac{1}{bx}\right)^{11}
(
a
x
2
+
b
x
1
)
11
. (ii) the coefficient of
x
−
7
x^{-7}
x
−
7
in the expansion of
(
a
x
−
1
b
x
2
)
11
.
\left(ax - \frac{1}{bx^2}\right)^{11}.
(
a
x
−
b
x
2
1
)
11
.
c. Also, find the relation between
a
a
a
and
b
b
b
, so that these coefficients are equal.
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