Question
Find the values of the following using binomial expansion: $(\sqrt{5}+2)^{6}+(\sqrt{5}-2)^{6}$

Answer

$5778$

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

The total cost function for a factory is $y = 10 + 3x$ where $x = No$. of units produced and $y =$ total cost of producing $x$ units. The range, the quartile deviation, the mean deviation and standard deviation of daily production of the factory are $50, 5, 8$ and $10$ units respectively. Find the range quartile deviation mean deviation and standard deviation for total cost y from it.
In how many ways can $5$ boys and $2$ girls be arranged in a row such that,
$(1)$ both the girls are together ?
$(2)$ both the girls are not together ?
The weight (in $\mathrm{kg}$ ) of $10$ girls are as follows. Find the percentage of girls whose weights are in the range $\bar{x} \pm 2 s$.
$50,52,51,50,49,47,48,46,34,53$.
Discuss advantages and disadvantages of direct inquiry.
Obtain the values using binomial expansion: $(\sqrt{2}+$ 1) $^{6}+(\sqrt{2}-1)^{6}$
The distribution of number of typing errors per page in a book is given below. Find the coefficient of skewness by Karl Pearson's method.
No. of typing errors $2$ $3$ $4$ $5$ $6$ $7$ $8$
No. of pages $10$ $15$ $23$ $9$ $23$ $12$ $8$
In a housing scheme a customer has to pay the cost of a house in $20$ annual instalments. He has to pay $Rs. 1000$ in the first instalment and there after he has to pay double amount of the previous instalment. How much amount will he pay in $10th$ yearly?
The data of daily average income (in $₹$ ) for $40$ hawkers of a city are as follows. Prepare an exclusive frequency distribution having classlength $100$ and midvalue of one of the classes as $650$ .
$\text{539 476 513 436 453 670 953 972 691 587}$
$\text{822 999 469 447 442 680 513 560 737 687}$
$\text{1044 891 560 481 478 460 476 563 558 1080}$
$\text{1033 707 660 602 503 493 504 443 550 900}$
Obtain an exclusive continuous frequency distribution from the following data.
Less than weight (kg.)
$30$
$35$
$40$
$45$
$50$
$55$
$60$
$65$
$70$
Cumulative frequency
$0$
$17$
$25$
$40$
$48$
$54$
$57$
$59$
$60$
The mean and standard deviation of a sample of size $15$ are $3.5$ and $3$ respectively and that of another sample of size $22$ are $4.7$ and $4$ respectively.
Obtain the combined standard deviation from this information.