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CBSE - Class 11 Mathematics Binomial Theorem Worksheet

Expand each of the expressions $(\frac{x}{3} + \frac{1}{x})^5$

Using binomial theorem, evaluate each of the following: 9. $(99)^5$

Expand each of the expressions 5. $(x + \frac{1}{x})^6$

Using binomial theorem, evaluate each of the following: 8. $(101)^4$

Prove that $\sum_{r=0}^{n} {^nC_r} 3^r = 4^n$.

Find $(x + 1)^6 + (x – 1)^6$. Hence or otherwise evaluate $(\sqrt{2} + 1)^6 + (\sqrt{2} – 1)^6$.

Show that $9^{n+1} – 8n – 9$ is divisible by 64, whenever $n$ is a positive integer.

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

Expand each of the expressions $(2x - 3)^6$

10.

Expand each of the expressions 1. $(1-2x)^5$

11.

Using binomial theorem, evaluate each of the following: 7. $(102)^5$

12.

Find $(a + b)^4 – (a – b)^4$. Hence, evaluate $(\sqrt{3} + \sqrt{2})^4 – (\sqrt{3} – \sqrt{2})^4$.

13.

Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or 1000.

14.

Using binomial theorem, evaluate each of the following: 6. $(96)^3$

Worksheet Answers

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