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
KonstantinChe [14]
3 years ago
15

Expand using pascal triangle (3x+2)^4

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

You might be interested in
Barrett is comparing the membership fees for two museums. The art museum charges a one-time fee of $8.25 plus $2.25 per month. T
sergejj [24]
Barrett will save $17.50 a year
5 0
3 years ago
How many cups are in 16 quarts? 1 quart = 4 cups
GrogVix [38]

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

6 0
3 years ago
Read 2 more answers
HELP PLEASEEEEE!!!! ILL GIVE BRAINLIEST
MAVERICK [17]

Answer:

they cost 13.86666666666667

Step-by-step explanation:

6 0
3 years ago
Evaluate the expression when x=5 and y=9 <br> X2 + 5y+ 16
7nadin3 [17]
10+45+16
The answer would be 71

8 0
3 years ago
Read 2 more answers
I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five studen
lianna [129]
Total student are 20
4 0
3 years ago
Other questions:
  • Help please!!!!!!!!!!!!!!!!!
    9·1 answer
  • What two numbers add to 10 and multiply to 28
    12·1 answer
  • Find an irrational number that is between 7.7 and 7.9. Explain why it is irrational. Include the decimal approximation of the ir
    11·1 answer
  • an exterminator must treat the perimeter of a house for insects if the house is 90 feet long and 30 feet wide what is the total
    8·1 answer
  • Solve the following equation for y, and then identify the slope of the line: 9x-3y=15
    5·2 answers
  • The sum of one-third of a number and 10 is equal to 13. What is the number?
    12·1 answer
  • Which function can be used to find the marked-up price of a marble countertop depending on the area?
    6·2 answers
  • chris and Michelle are professional divers. During one of their dives, Chris goes 40 meters below the surface of the water, and
    9·1 answer
  • Which of the following correctly shows the distribution of 4 in the following expression?
    12·1 answer
  • The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents th
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!