Question

find the coefficient of x^5 in the expansion of( 2x^3-1/3x^2)^10​

Answer 1

Answer:

hope fully it helps u

Step-by-step explanation:

Let  S=1+2x+3x2+4x3+…  

=>xS=x+2x2+3x3+4x4+…  

S−xS=(1)+(2–1)x+(3–2)x2+(4–3)x3+…  

S(1−x)=1+x+x2+x3+…=11−x  

=>S=(1−x)−2  

(1+2x+3x2+…)−32=S−32  

=[(1−x)−2]−32  

=[1−x]3=1−3x+3x2−x3  

There is no coefficient of  x5  in this expression. Hence, the coefficient is 0.