If `((1+x)(1+2x)(1+3x))/((1-x)(1-2x)(1-3x))=K+A/(1-x)+B/(1-2x)+C/(1-3x), ` Then which of the following is correct ?

If (1)/((1-x)(1-2x)(1-3x))=(A)/((1-x))+(B)/((1-2x))+(C )/((1-3x)) , then A+B+C= ________.

If 1/((1-2x)(1+3x))=A/(1-2x)+B/(1+3x) , then 2B =

Let f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1)| . Then which of the following is/are correct?

Coefficient of x^(n) in ((1+x)(1+2x)(1+3x))/((1-x)(1-2x)(1-3x)) is

If (3x+4)/((x+1)^(2)(x-1))=A/(x-1)+B/(x+1)+C/(x+1)^(2) " then " A=

(x^(3))/((2x-1)(x-3)(x-2))=K+(A)/(2x-1)+(B)/(x-3)+(C)/(x-2) then K=

If (3x+4)/((x+1)^2(x-1))=A/(x-1)+B/(x+1)+C/((x+1)^2 , then A=

Let a, b, c such that (1)/((1-x)(1-2x)(1-3x))=(a)/(1-x)+(b)/(1-2x)+(c)/(1-3x), a/1+b/3+c/5=