Question

x³+x²+1/ (x²+2)(x²+3) into partial fraction​

Answer 1

Answer:

ANSWER

(1+x)(1+x

2

)

7+x

=

1+x

A

+

1+x

2

Bx+C

⇒7+x=A(1+x

2

)+(Bx+C)(1+x)

⇒7+x=A(1+x

2

)+B(x+x

2

)+C(1+x)

On comparing coefficients

A+B=0,B+C=1,A+C=7⇒A=3,B=−3,C=4

Answer 2

see the above attachment