Question

Find the term independent of ℎ (9
2 −
1
3
)
12​

Answer 1

Answer:

T

r+1

=

n

C

r

a

n−r

b

r

Applying to the above question, we get

T

r+1

=(−1)

r

20

C

r

2

20−r

3

r

x

10−

2

r

−

3

r

...(i)

For term independent of x

⇒10−

2

r

−

3

r

=0

⇒10=

6

5r

⇒r=12

Substituting in equation (i), we get

T

13

=

20

C

12

2

8

3

12

=

20

C

12

6

8

3

4

Now

n

C

r

=

n

C

n−r

Therefore

20

C

12

6

8

3

4

=

20

C

20−12

6

8

3

4

=

20

C

8

6

8

3

4

Answer 2

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answer in attachment^^

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