1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ehidna [41]
3 years ago
7

Calculate the coefficient of x4y18 in the expansion of (x − y)22

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0
Binomial theorem:

(x-y)^n=\displaystyle\sum_{k=0}^n\binom nkx^k(-y)^{n-k}

The term with x^4y^{18} corresponds to n=18+4=22 and k=4 (or k=18, since \dbinom nk=\dbinom n{n-k}).

So, the coefficient of this term is

\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315
You might be interested in
Please help with these 2 questions!!
adell [148]
Hey there,

Question : <span>Steven had 24 pineapples. He sold 6 of them. What fraction of the pineapples did he sell? 

Answer : 
6 / 24 ----> divide by 6
            = 1 / 4 (simplified version)

Question : </span><span>Nancy bought 8 m of string. She used 5/8 of string to make a flower pot hanger. How much of the string did she have left? 

Answer : 
8 - 5 / 8 = 7 3 / 8

Hope this helps :))

<em>~Top♥</em>
</span>
5 0
3 years ago
Read 2 more answers
Which of the sets of ordered pairs represents a function?
kramer
A function will not have any repeating x values....it can have repeating y values, but all the x values have to be different for it to be a function.

A is a function because all the x values are a different number
B is not a function because u have repeating x values...u have repeating 4's and repeating 9's
3 0
3 years ago
Please help asap for a test
son4ous [18]

Answer: y=4x−1

good luck

8 0
2 years ago
Read 2 more answers
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
Fynjy0 [20]
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = \sqrt{( x_{1}- x_{0})  ^{2}+ ( y_{1}- y_{0})  ^{2}  }
CD = \sqrt{(a-0)^{2}+ (b-b)^{2}  }

7 0
3 years ago
Read 2 more answers
How to solve 4k-1.5k=50
padilas [110]
Combine like terms-- you can combine the k's:
4k-1.5k=2.5k

Now you have:
2.5k=50

Simply divide both sides by 2.5 to find the value of k:
\frac{2.5k}{2.5}=\frac{50}{2.5}\\\\k=20
6 0
3 years ago
Other questions:
  • The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to f
    10·2 answers
  • 40% of 65 HELP PLS thanks
    13·2 answers
  • Convert to mixed number 4/5
    5·1 answer
  • Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o
    14·1 answer
  • The capacity of a bucket is 25l. It has 13l of water. How much more water can it hold?
    7·1 answer
  • Find the intersection of H and G find the union of H and G
    5·1 answer
  • The product of a number n and 2 is 2. 50 POINTS
    12·1 answer
  • WILL MARK YOU BRAINLIEST
    7·2 answers
  • If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
    5·1 answer
  • Identify the appropriate equation to solve for this diagram
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!