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
List common factors of 9 and 18
In-s [12.5K]
9:{1,3 3,9}
18:{1,2,3 6,9,18}
8 0
3 years ago
What does each question mean in the context of the problem
OLga [1]

Answer:

they are losers

Step-by-step explanation:

hi

7 0
3 years ago
Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an
qwelly [4]

Answer:

Step-by-step explanation:

2.5 surface area

4 0
2 years ago
Which expression is equivalent to the following complex fraction?
I am Lyosha [343]

what a mess?!

please write your question better...

if you don't want the wrong answer

Step-by-step explanation:

what should we do?

4 0
3 years ago
PLEASE PLEASE HELP ME ASAP
Vika [28.1K]

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

  • sin=O/H
  • cos=A/H
  • tan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
Other questions:
  • Any help if possible Thank you ❤
    11·1 answer
  • Can someone please explain what and how to do this. i don’t get it.
    15·2 answers
  • Which is equivalent to 4 square root 9^1/2^?
    13·1 answer
  • If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)
    5·2 answers
  •  Precal on plato help please
    11·1 answer
  • The nursing department of a college surveyed two hundred graduates from their programs about their current
    6·1 answer
  • Which composition of transformations maps figure EFGH to figure E"F"G"H"?
    8·2 answers
  • 14. Lara bought gift cards to give as gifts. She bought some $20 movie
    13·2 answers
  • Please provide your work for your answer, the answer is not much important, the work that led to the answer is what matters the
    10·2 answers
  • Each side of a square calendar is 19 inches long. What is the calendar's perimeter?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!