which term in the expansion of \bigg( {x}^{2} - \dfrac{1}{x} \bigg)^{9}(x 2 − x 1 ) 9 will be independent of heads also find that term
which term in the expansion of \bigg( {x}^{2} - \dfrac{1}{x} \bigg)^{9}(x 2 − x 1 ) 9 will be independent of heads also find that term
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Answer:
eg
Step-by-step explanation:
Correct option is
D
−36
(
60
1
−
81
x
8
)⋅(2x
2
−
x
2
3
)
6
⇒
60
1
(2x
2
−
x
2
3
)
6
−
81
1
⋅x
8
(2x
2
−
x
2
3
)
6
its general term
$$\dfrac {1}{60}\ ^{6}C_{r} 2^{6 - r} (-3)^{r}x^{12 -4 r} - \dfrac {1}{81} \^{6}C_{r} 2^{6 - r} (-3)^{r} x^{20 - 4r}$$
12−4r=0 20−4r=0
r=3 r=5
for term independent of x,r for 1
st
expression is 3 and r for 2
nd
expression is 5
−
60
1
6
C
3
×2
3
×3
3
+
81
1
6
C
5
×2×3
5
−72+36=−36
∴ term independent of x=−36.
Answer:
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Step-by-step explanation:
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