(−1÷2)=20x(−1÷2)=9−(−1÷2) power 2x+1
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Answer:
Let F=(2x−1)
20
−(ax+b)
20
,G=(x
2
+px+q)
10
F=G
Equating x
20
coefficient in F,G
2
20
−a
20
=1
Equating x
19
coefficient in F,G
20
C
1
(2)
19
(−1)−
20
C
1
(a)
19
(b)=(10)(p) (∵ for x
19
, we have to take nine x
2
terms and one px which has probability of occuring as ten )
⟹p=−2(a
19
b+2)
equating constant terms 1−b
20
=q
10
equating x term 10pq
19
=20(2+ab
19
)
pq
19
=2ab
19
+4
solving all these equations we get
a=(1048575)
20
1
,b=0,p=−4,q=−1
2
80q+6p
=−40−12=−52
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