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
givi [52]
2 years ago
8

What is the coefficient of X^2Y^2 in the expansion of (x+y)^4

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

You might be interested in
Solve the inequality 2x + 8 < 5x − 4.
Lana71 [14]

The solution to this inequality is 4 < x or x > 4.

In order to solve this, follow the steps to solving an equation with one variable. The steps are below for you.

2x + 8 < 5x - 4 ------> Subtract 2x from both sides

8 < 3x - 4 -----> Add 4 to both sides

12 < 3x -----> Divide both sides by 3

4 < x

7 0
3 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
Arada [10]
The answer is 25%

(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75

(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%

7 0
3 years ago
Help only 12 minutes left middle school math
Alex_Xolod [135]

Answer:

C?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?
mash [69]

Answer:

The percentage rate per annum is 2.8%

Step-by-step explanation:

We need to multiply the principal by the time, then divide the interest by the product of P×T, so:

1,600 × 5 = 8,000

224 ÷ 8,000 = 0.028

Then we convert our final product to a percentage.

0.028 to a percent is 2.8%

6 0
2 years ago
Read 2 more answers
S the following sentence true or false? If no desk or table is available, you should crouch against an outside wall.
Flura [38]

Answer:

1st- what scenario are talking about?

2nd- false, becuase if you hide under any objects there is the risk of it falling over you and hurting you

7 0
3 years ago
Other questions:
  • an online video game tournament begins with 729. two players in each game there is only one winner and only the winner advances
    10·2 answers
  • Alexander signed up for a streaming music service that costs $9 per month. The service allows Alexander to listen to unlimited m
    9·1 answer
  • Which is the solution to the inequality?1/4+x&lt;5/6​
    10·1 answer
  • Could use some help on 22
    14·1 answer
  • In one town, 4% of 18-29 year olds own a house, as do 21% of 30-50 year olds and 55% of those over 50. According to a recent cen
    10·1 answer
  • A. 3(x + 2) = 18<br> B. X + 2 = 18
    11·1 answer
  • Which of the following coordinates is farthest to the right of the origin on a coordinate plane?
    10·2 answers
  • Someone help pls n thank you
    9·2 answers
  • Find the length of segment AB
    9·1 answer
  • What is 4,124 divided by 9 <br> pls show your work
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!