Math, asked by tharunkumar6246, 7 months ago

resolve into partial fraction x+4/(x^2-4)(x+1)​

Answers

Answered by premjipremji743
0

Answer:

The answer is

=

1

+

1

2

x

2

+

1

+

1

4

x

+

1

+

1

4

x

1

Explanation:

x

4

(

x

2

+

1

)

(

x

2

1

)

=

x

4

x

4

1

=

1

+

1

x

4

1

1

x

4

1

=

1

(

x

2

+

1

)

(

x

+

1

)

(

x

1

)

=

x

4

(

x

2

+

1

)

(

x

2

1

)

=

A

x

+

B

x

2

+

1

+

C

x

+

1

+

D

x

1

=

(

A

x

+

B

)

(

x

2

1

)

+

C

(

x

1

)

(

x

2

+

1

)

+

D

(

x

+

1

)

(

x

2

+

1

)

(

x

2

+

1

)

(

x

2

1

)

1

=

(

A

x

+

B

)

(

x

2

1

)

+

C

(

x

1

)

(

x

2

+

1

)

+

D

(

x

+

1

)

(

x

2

+

1

)

)

Let

x

=

1

,

,

1

=

4

D

,

,

D

=

1

4

Let

x

=

1

,

,

1

=

4

C

,

,

C

=

1

4

No coefficients,

1

=

B

C

+

D

,

,

B

=

1

2

1

=

1

2

Coefficients of

x

3

,

,

0

=

A

+

C

+

D

,

.

A

=

0

Therefore,

x

4

(

x

2

+

1

)

(

x

2

1

)

=

1

+

1

2

x

2

+

1

+

1

4

x

+

1

+

1

4

x

1

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