If x2-1-x4-x2-1-Ax-B-x2-x-1-Cx-D-x2-x-1 then A-C-

The correct option is D B + D 1 LHS=x^2+1/x^4+x^2+1; nbsp; nbsp; RHS=(Ax+B)(x^2 x+1) +(Cx+D)(x^2+x+1)/x^4+x^2+1 LHS=RHS Comparing the ...

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Integration by Partial Fractions

If x2+1/x4+...

Question

If $\frac{x^{2} + 1}{x^{4} + x^{2} + 1} = \frac{A x + B}{x^{2} + x + 1} + \frac{C x + D}{x^{2} - x + 1} t h e n A - C =$

B + D

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B + D - 1

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B + D + 1

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B + D + 2

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Solution

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Similar questions

$I f \frac{d}{d x} [\frac{1 + x^{2} + x^{4}}{1 + x + x^{2}}] = a x + b t h e n (a, b) =$

I f \frac{x^{2}}{(x^{2} + 1) (x^{2} + 2)} = \frac{A x + B}{x^{2} + 1} + \frac{C x + D}{x^{2} + 2}

(A, C) =

\frac{d}{d x} (\frac{1 + x^{2} + x^{4}}{1 + x + x^{2}}) = a x + b, t h e n (a, b) =

\frac{x^{4} + 24 x^{2} + 28}{(x^{2} + 1)^{3}}

= \frac{A x + B}{x^{2} + 1} + \frac{C x + D}{(x^{2} + 1)^{2}} + \frac{E x + F}{(x^{2} + 1)^{3}}

A =

\frac{d}{d x} (\frac{1 + x^{2} + x^{4}}{1 + x + x^{2}}) = a x + b

=

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