Question

find the coefficient of x^15 in (x^2+1/x^3)^10

Answer 1

Answer:

10

Step-by-step explanation:

(x^2+1/x^3)^10

in (x+y)^n tn =(n, r) x^n-r y^r

=10 C r (x^2) ^(10-r)(1/x^3)r

=10 C r (x^2(10-r)-3r

= > 2(10-r)-3r=15

20- 5 r = 15

20 - 15 =5r

5= 5r

r = 1

coe of x^15 is 10 C 1= 10