Partial Fractions

Resolve into partial fractions $\frac{7x-1}{6-5x+x^2}$

 $\frac{9}{(x-1)(x+2{)}^2}$ can be resolved using partial fractions as

 $\frac{x^2-x+1}{(x+1)(x-1{)}^2}$ can be resolved using partial fractions as

 $\frac{x^2-2x+6}{(x-2{)}^3}$ can be resolved using partial fractions as

Resolve $\frac{2x+3}{(x-1{)}^3}$ into partial fraction.

 $\frac{2x^2+2x+1}{x^3+x^2}$ can be resolved using partial fractions as

$\frac{x+4}{\left(x^2-4\right)(x+1)}$ can be resolved using partial fractions as

 $\frac{3x+7}{x^2-3x+2}$can be resolved using partial fractions as

$\frac{5x+6}{(2+x)(1-x)}$ can be resolved using partial fractions as

$\frac{2x+3}{(x+1)(x-3)}$ can be resolved using partial fractions as

Resolve the below expression into partial fractions.

$\frac{1}{\left(x-3\right)\left(x^2+5x+10\right)}=$

Resolve the below expression into partial fractions.

$\frac{3x}{\left(x-3\right)\left(x^2+5\right)}=$

Resolve the following rational expression into partial fractions.

$\frac{6x^2-x+1}{x^3+x^2+x+1}$

Resolve the following rational expression into partial fractions.

$\frac{x^3+2x+1}{x^2+5x+6}$

Resolve the following rational expression into partial fractions.

$\frac{x^2+x+1}{x^2-5x+6}$

Find the value of $l+m$ if $\frac{(x-1{)}^2}{x^3+x}=\frac{l}{x}+\frac{m}{x^2+1}$

Find the value of $a+b$ if $\frac{1}{x^4-1}=\frac{1}{a(x-1)}-\frac{1}{b(x+1)}-\frac{1}{2\left(x^2+1\right)}$.

Find the value of $a+b+c$, if  $\frac{x}{\left(x^2+1\right)(x-1)(x+2)}=\frac{1}{a(x-1)}+\frac{2}{b(x+2)}+\frac{(-3x+1)}{c\left(x^2+1\right)}$.

Resolve the following rational expression into partial fractions.

$\frac{3x+1}{(x-2)(x+1)}$

Resolve the following rational expression into partial fractions.

$\frac{1}{x^2-a^2}$