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Partial fraction decomposition?

0 votes

Can anyone please show me how to solve this question step by step please! 
find partial fraction decomposition (x^2+x-6)/(x^2+1)(x-1)

asked Jul 18, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

image

image

image

image

image

image

Equate the image  coefficients

image

Equate the x coefficients

image

Equate the constants

image

Now solve the above three equations.

Add the equations (1) and (2).

image

To eliminate B variable add the equations (4) and (3).

image

image

Substitute the value of C in equation (4).

image

image

Substitute the value of C in equation (1).

image

image

Substitute the values of A, B, C in equation (i).

image

Partial decomposition is image.

answered Jul 18, 2014 by david Expert
edited Jul 18, 2014 by david

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