" (ii) "((2x+3)!(x-1)!)/((x+1)!(2x+1)!)=7

Solve :((2x+3)!(x-1)!)/((x+1)!(2x+1)!)=7

" 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 the partial fractions of (3x^(2)+4)/((x-1)^(3)) is (3)/(x-1)+(A)/((x-1)^(2))+(7)/((x-1)^(3)) , then A= _________.

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

If (1+x)(1+2x)(1+3x)((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?

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

Solve: (1)/((x+3))+(1)/((2x-1))=(11)/((7x+9)),xne-3,(1)/(2),(-9)/(7).