Op Mishra
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“BINOMINAL THEOREM” Mob No: 9334767620
1. Expand the following by binominal theorem. (a).
4x 3
-
3y 4
(b)
2+x x 2
6
(c)
2x - 3 3 2x
6
(d)
(x + 2y)5
2. Find the coefficient of (i)
x8 in the expansion of (x21/2)10
(ii)
x10 in the expansion (2x2-3x -1/2)15
(ii)
x9 in the exp (2x2 - ½)20
(iv)
1 in the exp y+c2 y2 y3
(v)
210 in the exp ( 1-x2 ) 10
(vi)
x r co-efficient x2 + 1 x
(vii)
x r co-efficient x2 + 1 x
2 n
3. Find term independent of x in expansion of (i) x2 + 1 25 (ii) 3x2
10
n
(viii) xp in expansion of (x + 1/x)2n
1. Expand the following by binominal theorem. (a).
4x 3
-
3y 4
(b)
2+x x 2
6
(c)
2x - 3 3 2x
6
(d)
(x + 2y)5
2. Find the coefficient of (i)
x8 in the expansion of (x21/2)10
(ii)
x10 in the expansion (2x2-3x -1/2)15
(ii)
x9 in the exp (2x2 - ½)20
(iv)
1 in the exp y+c2 y2 y3
(v)
210 in the exp ( 1-x2 ) 10
(vi)
x r co-efficient x2 + 1 x
(vii)
x r co-efficient x2 + 1 x
2 n
3. Find term independent of x in expansion of (i) x2 + 1 25 (ii) 3x2
10
n
(viii) xp in expansion of (x + 1/x)2n
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