SOLUTION: Hi Stuck on this question Express the following as a partial fraction 3x-1/x^2+4x+4 Really confuced here, i take it you factorise the equation to get 3x-1/(x+2)(x+2)

Question 358027: Hi Stuck on this question
Express the following as a partial fraction
3x-1/x^2+4x+4
Really confuced here, i take it you factorise the equation to get
3x-1/(x+2)(x+2)

Thanks
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Multiplying by the denominator,

.
.

.
.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

So far, so good. But when you decompose partial fractions, if you have a factor squared in the original denominator, you have to represent the single factor in one denominator and the squared factor in another one, thus:

Apply the LCD in the RHS:

Hence, equating the coefficients in the numerators:

And

Therefore:

John

My calculator said it, I believe it, that settles it

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