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Solved Examples
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e   What is the 6th term of the binomial expansion of [x4 - y5]10 ?   e View Solution
e   Approximate (0.98)30 to the nearest tenth using the first two terms of a binomial expansion.
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e   What is the number of terms in the binomial expansion of (x + y)15 ?
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e   Find the eleventh term in the binomial expansion of (x - 4)10.
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e   Approximate the value of (2.02)7 by using the first two terms of a binomial expansion.
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e   Find the 4th term of the binomial expansion (1 - x)4.   e View Solution
e   What is the fifth term of (7x - y)12 ?
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e   Find the sixth term in the binomial expansion (x - y4)10.   e View Solution
e   Find the ninth term of the binomial expansion [x3 + y]18.
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e   Find the twelfth term in the binomial expansion of (3 + xy)14.
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e   Each edge of a cube is x cm in length. If the length of each edge is increased by 8 in, then find the binomial expansion that represents the volume of the new cube.
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e   Find the eighth term of the binomial expansion (x6 + y5)11.
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e   The first three terms of the binomial expansion of (x - y6)7 are
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e   Find the fourth term in the binomial expansion of (x13 + 1x)5.
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e   Find the value of middle term in the expansion of (xy + yx)8.
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e   Find the 14th term in the binomial expansion of (36 + x2 + 12x)7.
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e   Evaluate: (7! × 4!)5!    e View Solution
e   What is the number of terms in the binomial expansion of (x + y)16 ?
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e   Evaluate: (6 x 5 x 4 x 3 x 2 x 1) (4 x 3 x 2 x 1)(2 x 1)    e View Solution
e   Evaluate: (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)(5 x 4 x 3 x 2 x 1)( 3 x 2 x 1) )   e View Solution
e   Evaluate: 2! × 5!   e View Solution
e   Evaluate: 5!3!
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e   Evaluate: 10!5! × 5!   e View Solution
e   Use the binomial theorem to find the expansion.
(x + y)3   e
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e   Use binomial theorem to find the expansion of (2x - y)4.
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e   Use binomial theorem to find the expansion of (1 - x)5
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e   Use binomial theorem to find the expansion of (x2 + 2)4.
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e   Use binomial theorem to find the expansion of (2x + 3y) 3.   e View Solution
e   Find the third term in the binomial expansion of (2x + y)8.   e View Solution
e   Find the fifth term of the binomial expansion (3 - x)6.   e View Solution
e   Find the 12th term of the binomial expansion (1 - x)12.   e View Solution
e   Find the tenth term in the binomial expansion of (x - 2)9.
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e   What is the eleventh term of (6x - y)20 ?
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e   Find the sixth term in the binomial expansion (x - y2)8.   e View Solution
e   Find the ninth term in the binomial expansion of (9 + xy)12.
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e   Approximate the value of (3.03)10 by using the first two terms of a binomial expansion.
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e   Approximate (0.97)20 to the nearest tenth using the first two terms of a binomial expansion.
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e   If a! = 5! × 3!, then the value of a is:
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e   Find the ninth term of the binomial expansion [x9 + y]15.
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e   Find the twelfth term of the binomial expansion (x4 + y3)15.
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e   The first three terms of the binomial expansion of (x - y5)6 are
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e   Each edge of a cube is x cm in length. If the length of each edge is increased by 10 ft, then find the binomial expansion that represents the volume of the new cube.
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e   Find the sixth term in the binomial expansion of (x13 + 1x)7.
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e   Find the value of middle term in the expansion of (xy + yx)16.
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e   Find the 8th term in the binomial expansion of (9 + x2 + 6x)4.
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