`(3x^(2)-8x+9)/((x+1)^(3))=(a)/(x+1)+(b)/((x+1)^(2))+(c)/((x+1)^(3)),` then `a+b+c=`

(if^(4)-3x+3)/((x-1)^(3))=Ax+B+(C)/(x-1)+(D)/((x-1)^(2))+(E)/((x-1)^(3)) then

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

(x^(2)+5x+1)/((x+1)(x+2)(x+3))=(A)/(x+1)+(B)/((x+1)(x+2))+(C)/((x+1)(x+2)(x+3)) then B=

" If (3x^(3)-8x^(2)+10)/((x-1)^(4))=(3)/(x-1)+(1)/((x-1)^(2))-(7)/((x-1)^(3))+(k)/((x-1)^(2)) then "k=

If int x^((2)/(3))(1+x^((1)/(2)))^(-(13)/(3))dx=(a)/(b)(1+x^(-(1)/(2)))^(-(10)/(3))+C , then b-a=

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

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

If (1-x+6x^(2))/(x-x^(3))=(A)/(x)+(B)/(1-x)+(C)/(1+x) then A=

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