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Lecture - 3 Chapter 8 Binomial Theorem

Total number of terms in a Binomial Expansion, General Term of Binomial Expansion, Finding Term in a Binomial Expansion

NCERT Exercise 8.2

Find the coefficient of

Question 1. $x^5$ in $(x+3)^8$

Question 2. $a^5b^7$ in $(a-2b)^{12}$

Write the general term in the expansion of

Question 3. $(x^2-y)^6$

Question 4. $(x^2-yx)^{12}, x \ne 0$

Question 5. Find the 4^th term in the expansion of $(x-2y)^{12}$ .

Question 6. Find the 13^th term in the expansion of $\left ( 9x – \frac{1}{3 \sqrt{x}} \right )^{18}, x \ne 0$

Question 9. In the expansion of $(1+a)^{m+n}$ , prove that coefficients of a^m and aⁿ are equal.

Question 12. Find a positive value of m for which the coefficient of x² in the expansion $(1+x)^m$ is 6.