Question
Write the following binomial expansion: $\left(\frac{y}{3}-\frac{3}{y}\right)^{4}$

Answer

$\frac{y^{6}}{729}+\frac{\left(2 y^{1}\right)}{27}+\frac{\left(5 y^{2}\right)}{3}+20+\frac{135}{y^{2}}+\frac{486}{y^{4}}+\frac{729}{y^{6}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

State the advantages of mean.
Expand $\left(\frac{a}{b}-\frac{b}{a}\right)^{4}$.
If $f: R \rightarrow R, f(x)=2 x+7, g: Z \rightarrow$ $Z, g(x)=x^{2}+x-1$ whether, $f$ and $g$ are equal or not?
How many numbers greater than can be formed using the first five natural numbers ?
The information of number of goals in $16$ matches of hockey tournament is given. Find the mean deviation of number of goals for it.
No. of goals $1$ $2$ $3$ $4$ $5$
No. of matches $1$ $4$ $6$ $4$ $1$
If $f(x)=\frac{2 x+3}{5 x+2}, x \in R-\left\{-\frac{2}{5}\right\}$; then find the value of $f(2) . f\left(\frac{1}{2}\right)$.
To test the quality of food served by $200$ restaurants of a city draw 10 % stratified random sample. From $200$ restaurants $140$ is large and $60$ are small. To draw the sample random numbers are as follows:
For large restaurant: $137, 408, 071, 191, 014, 120, 394, 222, 026, 090, 172, 304, 200, 215, 146, 013, 348, 113, 160, 181$
For small restaurant : $572, 089, 008, 328, 078, 432, 107, 138, 247, 078, 115, 209$
If $r=\frac{1}{3}, S _4=\frac{80}{27}$ for a $G . P$, find $a$ and $T _{6^*}$
Classify the following data by taking the classes $\text{1—10, 11—20,……. 19, 9, 41, 8, 29, 24, 65, 52, 82, 77, 64, 79, .20, 26, 75, 6, 18, 53, 41, 28, 21, 27, 19, 13,44, 59, 73, 81, 86, 36, 70, 83, 16, 11, 47, 23, 51, 33, 23, 38.}$
Find the mode of the observations $1.9, 1.99, 0.9, 0.99, 1.90, 1.09, 0.09, 1.0, 1.19, 1.9$. If each observation is increased by $1.04$ and then divided by $2$, find the new value of the mode.