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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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