જો $\frac{x^4+24x^2+28}{(x^2+1)^3}$ નું આંશિક અપૂર્ણાંક વિઘટન $\frac{A}{x^2+1}+\frac{B}{(x^2+1)^2}+\frac{C}{(x^2+1)^3}$ હોય,તો $B-2A+C=$

જો $\frac{x^4}{(x-1)(x-2)}=f(x)+\frac{A}{x-1}+\frac{B}{x-2}$ હોય,તો $f(-2)+A+B=$

જો $\frac{6 x^4+13 x^3+2 x^2-x+3}{2 x^2+3 x-2}=f(x)+\frac{A}{a x-1}+\frac{B}{x+b}$ હોય, તો $f(1)+a \cdot B+b \cdot A=$

જો $\frac{3 x^2+a x+3}{(2 x+3)(x^2+2)}=\frac{3}{2 x+3}+\frac{B x+C}{x^2+2}$ હોય, તો $a(B+C) = $

$\begin{aligned} & \text{જો } \frac{4x^2+5x^4+7}{(x^2+1)(x^4+x^2+1)} = \frac{Ax+B}{x^2+1} \\ & + \frac{Cx^3+Dx^2+Ex+F}{x^4+x^2+1}, \text{ હોય તો } \\ & B+2(D+F+E)-C \cdot A = \end{aligned}$

જો $\frac{x^4+x^3+2x^2-2x+1}{x^3+x^2} = P(x) + \frac{A}{x} + \frac{B}{x^2} + \frac{C}{x+1}$ હોય,તો $A+B+C = $