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
9966 [12]
3 years ago
9

Coefficient of x^2 in expansion of the binomial theorem (2x-1)^4 show your work

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

24

Step-by-step explanation:

If you use Pascal's triangle, which I did, you will look at the 5th row of the triangle which contains the numbers 1, 4, 6, 4, 1

If we expand using a = 2x and b = -1, then the expansion looks like this:

1(2x)^4(-1)^0+4(2x)^3(-1)^1+6(2x)^2(-1)^2+4(2x)^1(-1)^3+1(2x)^0(-1)^4

If you simplify all that down by multiplying, you'll get

16x^4-32x^3+24x^2-8x+1

If you don't know how to use Pascal's triangle, you need to learn.  It's so very cool!

You might be interested in
Find the inverse function for y=3/4+x
Sonja [21]

The inverse of this function is y = x - \frac{3}{4}


You can find the inverse of any function by switching the x and y values and then solving for the new y value. Once you've done that, what will be left over is the inverse function.


y = \frac{3}{4} + x ----> Swap x and y

x = \frac{3}{4} + x -----> Subtract 3/4 from both sides.

x - \frac{3}{4} = y ----> rearrange to appropriate order

y = x - \frac{3}{4}


And that is your inverse function.

8 0
3 years ago
Emma is eating a bowl of soup for dinner. She estimates the bowl holds 2 quarts of soup . Do you think Emma's estimate is reason
FinnZ [79.3K]

Emma's estimate is not reasonable because a serving of soup is typically about 1-2 cups and 2 quarts = 8 cups.

would you eat 8 cups of soup? no.
4 0
3 years ago
Anyone know the answer to these?
Arturiano [62]

Step-by-step explanation:

Speakers =£ 31.5

Headphones =£ 4.8

Book =£ 3.85

Mobile phone =£ 36

mouse = £12.75

DVD =£ 10.2

Hope it will help you :)

8 0
3 years ago
HELP PLEASE I NEED ALL THE AWNSERS! PLEASEEE
Norma-Jean [14]

Answer:

1) 34

2) 8

3) 8

4) 68

5) 12

6) 4

7) 59

8) 60

9) 25

10) 24

8 0
3 years ago
Read 2 more answers
Which statement is true about 7/10 and 2/6?
77julia77 [94]

Answer: The third answer

Step-by-step explanation:

7/10 is 0.7 and 2/6 is 0.33, 2/6 would be less than 1/2 because 1/2 is 0.5, 0.7 is greater than that benchmark

5 0
3 years ago
Other questions:
  • If you flip a fair coin 444 times, what is the probability that you will get exactly 222 tails?
    11·2 answers
  • A square has an area of 16,900 square feet what is the length of one side of the square?
    11·1 answer
  • Please help! I will give brainliest
    10·1 answer
  • If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG
    9·1 answer
  • PLEASE HELP!!! i will give brainliest!!!
    6·1 answer
  • How do you do inter quartile range?​
    8·1 answer
  • Please help a brother out
    8·1 answer
  • Which expression is equivalent to .........? <br> ......<br> ......<br> .....<br> .
    15·2 answers
  • Solve each equation two step equation test 5+m / -3 =0
    6·2 answers
  • The product of 50 and the number of employees which algebraic expression represents the phrase
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!