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CBSE - Class 11 > Mathematics > Binomial Theorem Worksheets

Free CBSE - Class 11 Mathematics - Binomial Theorem worksheets

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1.
Find $(x + 1)^6 + (x – 1)^6$. Hence or otherwise evaluate $(\sqrt{2} + 1)^6 + (\sqrt{2} – 1)^6$.
2.
Show that $9^{n+1} – 8n – 9$ is divisible by 64, whenever $n$ is a positive integer.
3.
Prove that $\sum_{r=0}^{n} {^nC_r} 3^r = 4^n$.
4.
Using binomial theorem, evaluate each of the following: 6. $(96)^3$
5.
Using binomial theorem, evaluate each of the following: 7. $(102)^5$
6.
Using binomial theorem, evaluate each of the following: 8. $(101)^4$
7.
Using binomial theorem, evaluate each of the following: 9. $(99)^5$
8.
Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or 1000.
9.
Find $(a + b)^4 – (a – b)^4$. Hence, evaluate $(\sqrt{3} + \sqrt{2})^4 – (\sqrt{3} – \sqrt{2})^4$.
10.

Expand each of the expressions 2. $(\frac{2}{x} - \frac{x}{2})^5$

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Chapters in CBSE - Class 11 Mathematics

Mathematics Worksheet Sets Worksheet Relations and Functions Worksheet Trigonometric Functions Worksheet Complex Numbers Worksheet Linear Inequalities Worksheet Permutations and Combinations Worksheet Sequences and Series Worksheet Straight Lines Worksheet Conic Sections Worksheet Introduction to Three Dimensional Geometry Worksheet Limits and Derivatives Worksheet Statistics Worksheet Probability Worksheet

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