" The coefficient of "x^(n)" in "((1+x)^(2))/((1-x)^(3))

Find the coefficient of x^(n) in ((1+2x)^(3))/((1-x)^(2))

The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

Statement 1: The coefficient of x^(n) is (1+x+(x^(2))/(2!)+(x^(3))/(3!)+...+(x^(n))/(n!))^(3) is (3^(n))/(n!) Statement 2: The coefficient of x^(n)ine^(3x)is(3^(n))/(n!)

The coefficient of x^(n) in (1+x)/(1!)+((1+x)^(2))/(2!)+((1+x)^(3))/(3!)+....