Expand the expression (1- 2x)^{5}
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By using Binomial Theorem, the expression (1â€“ 2x)^{5} can be expanded as
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Expand the expression
Answer :
By using Binomial Theorem, the expression can be expanded as
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Expand the expression (2x - 3)^{6}
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Expand the expression
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Using Binomial Theorem, evaluate (96)^{3}
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Using Binomial Theorem, evaluate (102)^{5}
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Using Binomial Theorem, evaluate (101)^{4}
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Using Binomial Theorem, evaluate (99)^{5}
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Using Binomial Theorem, indicate which number is larger (1.1)^{10000}or 1000.
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Find (a + b)^{4}â€“ (aâ€“ b)^{4}. Hence, evaluate.
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Find (x+ 1)^{6}+ (x â€“ 1)^{6}. Hence or otherwise evaluate.
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Show that is divisible by 64, whenever nis a positive integer.
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Find the coefficient of x^{5}in (x + 3)^{8}
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Find the coefficient of a^{5}b^{7}in (a - 2b)^{12}
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Write the general term in the expansion of (x^{2}- y)^{6}
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Write the general term in the expansion of (x^{2}- yx)^{12}, x ≠0
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Find the 4^{th}term in the expansion of (x- 2y)^{12} .
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Find the 13^{th}term in the expansion of.
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Find the middle terms in the expansions of
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Find the middle terms in the expansions of
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In the expansion of (1 + a)^{m + n}, prove that coefficients of a^{m}and a^{n}are equal.
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The coefficients of the (r- 1)^{th}, r^{th}and (r + 1)^{th}terms in the expansion of
(x+ 1)^{n}are in the ratio 1:3:5. Find nand r.
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Prove that the coefficient of x^{n}in the expansion of (1 + x)^{2}^{n}is twice the coefficient of x^{n}in the expansion of (1 + x)^{2}^{n}^{-1} .
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Find a positive value of mfor which the coefficient of x^{2}in the expansion
(1 + x)^{m}is 6.
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Find a, band n in the expansion of (a+ b)^{n}if the first three terms of the expansion are 729, 7290 and 30375, respectively.
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Find aif the coefficients of x^{2}and x^{3}in the expansion of (3 + ax)^{9}are equal.
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Find the coefficient of x^{5}in the product (1 + 2x)^{6}(1 - x)^{7}using binomial theorem.
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If a and b are distinct integers, prove that a - b is a factor of a^{n} - b^{n}, whenever n is a positive integer.
[Hint: write a^{n} = (a - b + b)^{n} and expand]
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Find the value of.
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Find an approximation of (0.99)^{5}using the first three terms of its expansion.
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Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of
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Expand using Binomial Theorem.
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Find the expansion of using binomial theorem.
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Maths - Maths : CBSE NCERT Exercise Solutions for Class 11th for Binomial Theorem ( Exercise 8.1, 8.2, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.
Exercise 8.1 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Question 13 |
Question 14 |
Exercise 8.2 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Exercise Miscellaneous |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |