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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 1. $(1-2x)^5$

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Chapters in CBSE - Class 11 Mathematics

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

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