Question

find the independent of X term is (x^2-2/x^3)^15​

Answer 1

Answer:

Correct option is

D

15

C

9

.3

6

.2

9

The given question can be written as (3x

−3

+2x

2

)

15

.

T

r+1

=

n

C

r

a

n−r

b

r

Applying to the above question, we get

T

r+1

=

15

C

r

3

15−r

x

3r−45

2

r

x

2r

=

15

C

r

3

15−r

2

r

x

5r−45

...(i)

For term independent of x

5r−45=0

r=9

Substituting in (i), we get

T

10

=

15

C

9

3

6

2

9