Express in partial fractions:

a) (3x + 1) / (x + 1)^2

b) (x^2 + 7x + 2) / (1 + x^2)(2 - x)

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- Nov 18th 2009, 07:58 AMmalteseboyPlease show working to express these in partial fractions
**Express in partial fractions:**

a) (3x + 1) / (x + 1)^2

b) (x^2 + 7x + 2) / (1 + x^2)(2 - x)

- Nov 18th 2009, 03:47 PMskeeter
- Nov 18th 2009, 03:53 PMpencil09
a)

$\displaystyle \frac {3x + 1} {(x + 1)^2} $ (it's the repeated factor type) so

$\displaystyle \frac {3x + 1} {(x + 1)^2}=\frac {A}{x+1}+\frac {B}{(x+1)^2}$

$\displaystyle \frac {3x + 1} {(x + 1)^2}=\frac {A(x+1)+B}{(x+1)^2}$

you can cancel the denominator,

so you have

$\displaystyle 3x + 1=A(x+1)+B$

you just have to find the value for A and B and then change A and B from this eq...$\displaystyle \frac {A}{x+1}+\frac {B}{(x+1)^2}$

....hope it help.....(Nod)