Q. Expand ${(x+\frac{1}{x})}^6$

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

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

Q. Expand $(1-2x{)}^5$

Q. Prove that ${\sum }_{r=0}^n{3}^r{}^n{C}_r=4^n$

Q. Expand the expression $(2x-3{)}^6$

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

Q. Find $(a+b{)}^4-(a-b{)}^4$. Hence find $s$ if $(\sqrt{3}+\sqrt{2}{)}^4-(\sqrt{3}-\sqrt{2}{)}^4=40\sqrt{s}$

Q. Using Binomial theorem, evaluate $(99{)}^5$

Q. Expand the expression
${(\frac{2}{x}-\frac{x}{2})}^5$

Q. Evaluate $(96{)}^3$

Q. Using Binomial Theorem, evaluate $(101{)}^4$

Q. Using Binomial Theorem, evaluate $(102{)}^5$

Q. Expand ${(\frac{x}{3}+\frac{1}{x})}^5$

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

Q. Write the general term in the expansion of $(x^2-y{)}^6$

Q. Write the general term in the expansion of $(x^2-yx{)}^{12},x\ne 0$

Q. Find the ${13}^{th}$ term in the expansion of ${(9x-\frac{1}{3\sqrt{x}})}^{18},x\ne 0$

Q. Find the coefficient of $a^5{b}^7$ in $(a-2b{)}^{12}$

1. 12356
2. 101376
3. -101356
4. -101376

Q. Find the coefficient of $x^5$ in $(x+3{)}^8$