Question

Resolve x⁴-x²+1 / x²(x²-1)²
into partial fractions.​

Answer 1

Step-by-step explanation:

solving through substitution method.

x^2+1=k=x^2=k-1.

subsituting in the question equation.

x^2+1=k=x^2=k-1.

subsituting in the equation.

24(k-1)+28=k^3k^2+22k+5.

=k1+k222+k35.

=(x2+1)1+(x2+1)x2+1)222+(x2+1)35.

{we know that k=x^2+1}(x2+1)3x^4+24x^2+28.

=(x2+1)1+(x^2+1)222+(x^2+1)3.

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