What is the coefficient of x4 y3 term in the expansion of ( x-2y )7?

Answers

Answer 1

The coefficient of  x⁴y³ term in the expansion of  (x - 2y)⁷ is 280.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given expression:

(x - 2y)⁷

Expand this as given below,

(x - 2y)³ × [(x - 2y)²]²

(x³ + 6x²y + 12xy² + 8y³) × [(x² + 4y² - 4xy)]²

Solve the above expression to get,

x⁷ + 14x⁶ + 84x⁵y² + 280x⁴y³ + 560x³y⁴ + 672x²y⁵ + 448xy⁶ + 128y⁷

Here, the coefficient of the x⁴y³ is 280,

Therefore, the coefficient of  x⁴y³ term in the expansion of  (x - 2y)⁷ is 280.

To know more about the expression:

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Related Questions

A grocery store sells three sizes of bags of one brand of potato chips. The big bag is 14 ounces and costs $6.30. The medium bag is 9.75 ounces and costs $2.50. The small bag is 8 ounces and costs $2.48. What is the cost per ounce of the medium bag size?* Your answer O This is a required question​

Answers

Answer:

$0.26 (2.dp)

Step by step explanation:

The cost per ounce will be equal to $0.9.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a grocery store sells three sizes of bags of one brand of potato chips. The big bag is 14 ounces and costs $6.30. The medium bag is 9.75 ounces and costs $2.50. The small bag is 8 ounces and costs $2.48.

The cost per ounce for medium size bag is calculated as,

2.75 ounces = $2.5

1 ounce = 2.5 / 2.75

1 ounce = $0.9

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Beads are sold in a cylindrical container
with a diameter of 13 cm and a height
of 4 cm. How many cubic centimeters
of beads does this container hold?

Answers

20cm

dbdjdfg

sbdjwpwhdd

dbdjdldownnwkdldkwjw

dbk202$;%%

which set of polar coordinates describes the same location as the rectangular coordinates (3, 0)?

Answers

Answer:

(3,0°)

Step-by-step explanation:

a p e x

Answer:

(3, 0 degrees) is the right answer

Step-by-step explanation:

Use tan(theta)=y/x for theta and

x^2+y^2= r^2 for the r value

Ill mark brainiest if right!!! A Choose... is a quadrilateral that has only one pair of parallel sides.
1. Rectangle
2. Trapezoid
3.Rhombus

Answers

Answer:2

Step-by-step explanation:

The tape diagram represents an equation (look at picture!!)

Answers

Answer:

1/4 + m = 2/3

Step-by-step explanation:

Solve for x.
5x - 5 = x + 15​

Answers

x = 5

I hope this helped :D

Answer:

x=5

Step-by-step explanation:

5x-5=x+15

-x     =-x

4x-5=15

    +5=+5

4/4x=20/4

x=5

nadu has finished 2/5 of his job in May, then finished 60% of the remaining job in June. How many percent of the job has he finished in total?

Answers

Answer: the two men work 5 hours per day, ... 75 people work 8 hours daily to complete a job in 27 days. ... How many hours per day should she work to finish the same piece of work in 7

Step-by-step explanation:

Answer:

96%

Step-by-step explanation:

1. A chlorine atom has a net charge of zero. What is the net charge on the chlorine atom
after it gains an electron with a charge of -1
A. - 2
B. -1
C. 0
D.+1

Answers

B. -1 is the answer

I am SO SORRY I DID NOT MEAN TO PUT THAT YOUR ANSWER DIDNT HELP!! ithink it helped alot!! i accidently pressed the wrong thing now i cannot change it!! Thank you!

Answers

girl who u talking to lolll can i have brainliest for this tho? i’m trying to reach next level

Answer:

UMMMM I don't know what happened with your account but thanks for the points

Name an angle of

C) 140°

Answers

Answer:

angle C is 90°

Step-by-step explanation:

(sorry if thats not the answer the question is confusing)

have a nice day!! :)

For what value(s) of w does the equation 7 + 3x - 1 = w(x + 2) have infinitely many solutions?

Answers

Answer:

w=3

Step-by-step explanation:

7 + 3x - 1 = w(x + 2)

Solve for w

Distribute

7 + 3x - 1 = wx + 2w

Combine like terms

3x+6 = wx+2w

For this to have infinite terms

3x = wx   and 6 = 2w

3x = wx

Divide by x

3 =w  

and 6 = 2w

Divide by 2

6/2 = 2w/2

3 =w

When w = 3, there will be infinitely many solutions

Alex, Hans and Stan saved up some money to buy a tent for a camping trip. Stan saved 60% of the price. Alex saved 40% of what was left of the price and Hans’ share of the price was €30. What was the price of the tent?

Answers

Answer:

What is the smallest number you can form with the given cards? ... Alex, Hans and Stan saved money to buy a tent for a camping trip. Stan ... Alex saved 40 % of what was left of the price.

Please help
NO LINKS
IM DESPERATE
LINKS= REPORT
2 QUESTIONS

Answers

first answer is (c)

second answer is (a)

Find the area of a triangle with a base of 9 feet and hypotenuse length of 13 feet​

Answers

Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

Martina and Ashanti worked together on an art project. They began working at 3:25 p.M. And finished working at 5:15 p.M. How long did the girls work together on their art project?

Answers

Answer:

The girls worked together on their art project for 1 hour and 50 minutes.

Step-by-step explanation:

In order to find the answer you have to find the difference between the time they began working and the tine they finished working. You have to subtract 3:25 from 5:15.

Since 25 minutes on the time they began working is higher than 15 minutes, you have to subtract 1 from the time they finished working that is 5 hours:

5-1=4

Then, you have to increase the minutes on the time they finished working by 60:

15+60=75

Now, you have to subtract the minutes which would be 25 from 75:

75-25=50

Finally, you have to subtract the hours which would be 4 minus 3:

4-3=1

The result would be 1 hour and 50 minutes.

According to this, the answer is that the girls worked together on their art project for 1 hour and 50 minutes.

The width of the rectangle is 50% If its is 18 length is the area of the rectangle

Answers

Answer:  A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and - Brainly.com A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and its width is reduced by 25%, find the percent change in the area of the rectangle. What do you need to know? Rate! Rate!

Step-by-step explanation:

A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?

A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5

Answers

Answer:

L = 0.2w + 5

Since there is already 5 miles, your adding 0.2w. Its not 0.2L because that is the total length and its the sum.

Answer:

L= 0.22+5

I did packet

I really need to know what in the world is 1+1 i’ve been trying to find the answer all day

Answers

the answer to 1+1 is 2

IM STRUGGLING PLEASE HELP ILL GIVE YOU BRAINIEST :(((

(If your good at math)

Answers

Answer:

1437.33 cm^3 , 75.4 km^3

Step-by-step explanation:

1.

V = (lwh)/3

V = (14 x 14 x 22)

V = 1437.33 cm^3

2.

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V= [tex]\pi 3^{2} \frac{8}{3}[/tex]

V = 75.4 km^3

Given that the measurement is in centimeters, find the circumference to the nearest tenth.
A: 28.3cm
B:56.5cm
C:63.6cm
D:254.3cm

Answers

It’s B. Hope that helps you!

If 2% of a number equals 9, find 4% of that number.

Answers

Answer:

18

Step-by-step explanation:

The number you are getting the percent from is 450

1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*

Answers

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

What goes in the highlighted box?

Answers

Answer:

it's yes

Step-by-step explanation:

hope it help

follow me plsss

During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's
numbered compartments. Then the process is repeated with another random spin.

Are these two events dependent or independent?

dependent

independent

Answers

Answer:

Independent is the correct answer

Step-by-step explanation:

HELP PLEASE!!!!! 13 POINTS!!! WILL GIVE BRAINLIEST!!!
Which exponential expression is equivalent to the one below? (7x2)^5

Answers

Answer:

The 2nd option is the correct answer - 7⁶ . 2⁶

Answer is

B. 7^6*2^6

Yesterday only 13 students were absent. The is 4% of the schools enrollment. What is the schools total enrollment?

Answers

Answer: 325 students

Step-by-step explanation:

13 students were absent and this is 4% of the school's total enrollment.

If 13 students represent 4% of the students, assume that x represents 100% of the students:

4% * x = 13

0.04x = 13

x = 13/0.04

x = 325 students

There are 325 students in this school.

so if you say hi to someone and they dont say it back what do you do

Answers

You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.

Answer:

Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP

Step-by-step explanation:

After 10 weeks of work, bob has $1200. After 15 weeks of work Bob has $1800. After 20 weeks of work Bob has $2400. Write the firs four terms of a sequence that represents this situation. Writ and equation to model the situation

Answers

Answer:

1200,1800,2400,3000

5x = 600x

Step-by-step explanation:

The first four terms would be

1200,1800,2400,3000

As we can see that

After 10 weeks of work bob has $1200

After 15 weeks of work, bob has $1,800

So the more the weeks would be, the more the earnings it is

And, the difference of the earnings is

= $1,800 -$1,200

= $600

The equation would be

5x = 600x

So if we assume x = 1

So

5 = 600

if we assume x = 2

So

10 = 1200

and so on

Mr. D'Agostino decided he wanted to build a pool in his backyard this summer. He sketched a drawing that had a scale of 1 in. = 4 feet. If the drawing had a length of 4 feet and a width of 5 feet, what is the actual area of the pool?

Answers

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

What is the area of

28
105
38.5
49

Answers

Answer:

105

Step-by-step explanation:

11×14= 154

7×7= 49

154-49= 105

Answer:

105 is ur answer!

you're welcome lol

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