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
anzhelika [568]
3 years ago
6

How many terms does the binomial expansion of (x^2+7y)^9

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

x

18

+

63

x

16

y

+

1764

x

14

y

2

+

28812

x

12

y

3

+

302526

x

10

y

4

+

2117682

x

8

y

5

+

9882516

x

6

y

6

+

29647548

x

4

y

7

+

51883209

x

2

y

8

+

40353607

y

9

Step-by-step explanation:

(

a

+

b

)

n

=

n

∑

k

=

0

 

n

C

k

⋅

(

a

n

−

k

b

k

)

.

9

∑

k

=

0

 

9

!

(

9

−

k

)

!

k

!

⋅

(

x

2

)

9

−

k

⋅

(

7

y

)

k

Expand the summation.

9

!

(

9

−

0

)

!

0

!

⋅

(

x

2

)

9

−

0

⋅

(

7

y

)

0

+

9

!

(

9

−

1

)

!

1

!

⋅

(

x

2

)

9

−

1

⋅

(

7

y

)

+

…

+

9

!

(

9

−

9

)

!

9

!

⋅

(

x

2

)

9

−

9

⋅

(

7

y

)

9

Simplify the exponents for each term of the expansion.

1

⋅

(

x

2

)

9

⋅

(

7

y

)

0

+

9

⋅

(

x

2

)

8

⋅

(

7

y

)

+

…

+

1

⋅

(

x

2

)

0

⋅

(

7

y

)

9

Simplify the polynomial result.

x

18

+

63

x

16

y

+

1764

x

14

y

2

+

28812

x

12

y

3

+

302526

x

10

y

4

+

2117682

x

8

y

5

+

9882516

x

6

y

6

+

29647548

x

4

y

7

+

51883209

x

2

y

8

+

40353607

y

9

You might be interested in
How Do I do this equation
Mariulka [41]

Answer:

Part A 12 ≤ 6x ≤ 36

Part B 2 ≤ x ≤ 6

Step-by-step explanation:

5 0
3 years ago
Order these fractions from least to greatest.<br> 2 2 2<br> 8' 3' 6
PIT_PIT [208]
2/8 is the least, 2/3 is the greatest, 2/6 is the middle
5 0
3 years ago
Help will give brainliest
Aliun [14]

Answer:

C

Step-by-step explanation:

55% is the same thing as 0.55. 0.55(300) equals 165

Hope this helps! Please give brainliest!!

5 0
3 years ago
Read 2 more answers
Can u solve these 4 me?
Ber [7]

So for this:

(-1/3+-0.3/3+1) ^2

(-1/3-0.1+1)^2

(1-1.3/3)^2

(1-0.433333)^2

0.566667^2

Answer: 0.321111

0.32

8 0
3 years ago
I cannot answer this question 20.4= ? tenths
jekas [21]
The question asked in this query is the place order of the number value 20.4 and what is the tenths? We can further explain the state order values of the number is expanded form thus,
<span><span>1.                      </span>20.0 – tens</span> <span><span>
2.                      </span>0.4 – tenths</span>

Now, which is the tenths in the number? It is the digit number of 0.4



8 0
4 years ago
Read 2 more answers
Other questions:
  • The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. The speed of a car is 1.5 times fast
    9·1 answer
  • Simplify expression <br> 1/3 x + 5/9 x - 1 + 4
    14·1 answer
  • Which expression shows how to find the volume of the figure​
    12·1 answer
  • 4. a dinner bill is to be divided equally among five friends. if the total cost of the bill is x dollars, which expression corre
    6·1 answer
  • 16.25 divided by 0.14 plz show work and answer fast
    14·1 answer
  • The number a x 10 ^-2 is about 8 times greater than b x 10^-3. Find the correct value of a and b.
    12·2 answers
  • What is the sum of the polynomials?
    13·2 answers
  • Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she
    7·2 answers
  • What is the product of 3 1/3 and 1/3​
    7·1 answer
  • What is the surface area?<br> 10 mm<br> mm<br> 10 mm<br> 10 mm<br> square millimeters
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!