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
lys-0071 [83]
3 years ago
11

What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Mathematics
2 answers:
Sholpan [36]3 years ago
3 0

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

viva [34]3 years ago
3 0

Answer:

15

Step-by-step explanation:

You might be interested in
When writing a repeating decimal as a fraction does the number of repeating digits you use matter
umka21 [38]
Yes, it matters, if it is recurring or simply just irrational <span />
4 0
3 years ago
You went shopping and found a pair of shoes that were $45.00 on sale for $27.50. what was the percent of decrease of the shoes?
Mandarinka [93]
Percent decrease = (original number - new number) / original number....* 100
                             = (45 - 27.5) / 45.....* 100
                             = 17.5 / 45....* 100
                             = 0.3888 * 100 
                             = 38.9 % decrease <== thats rounded
8 0
3 years ago
Hi I’m back again and I need help with this question on my daily common core review sheet. Thanks a lot, answer this and you get
tatiyna

Answer:

B

Step-by-step explanation:

That's the biggest number

4 0
2 years ago
Read 2 more answers
Explain step by step please!
adelina 88 [10]

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

5 0
3 years ago
Read 2 more answers
.3% of what number is 4.8?
frutty [35]

Answer:

1600

Step-by-step explanation:

0.3% of 1600 will result to 4.8

6 0
3 years ago
Other questions:
  • A car travels 28 miles north and then turns east. How far did the car travel east if the destination is 53 miles from the starti
    15·1 answer
  • I want answer part b ​
    7·2 answers
  • X y
    5·1 answer
  • Please help ASAP I will mark brainlest
    9·1 answer
  • Place the following steps in order to complete the square and solve the quadratic equation,
    8·1 answer
  • The graph of a linear function is shown<br> below. What is the domain of the<br> function?
    12·1 answer
  • I’ll give brainliest
    9·1 answer
  • Leslie deposited $1,700.00 into a new savings account that earns 9% interest
    13·1 answer
  • I need some help lol
    15·1 answer
  • Bart has 11 more baseball cards than Tom. Together, they have 163 baseball cards. How many baseball cards does Tom have?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!