Q3) If we want to decompose (x^2 + 4x + 5) / ((x^2 - 1)^2(x^2 + 2x + 5)) into partial fractions , we should look for an expression in the form : (a Ax + B / x^2 - 1 + Cx + D / (x^2 - 1)^2 + Ex + F / x^2 + 2x + 5 (b A / x - 1 + B / (x - 1)^2 + C / x + 1 + D / (x + 1)^2 + Ex + F / x^2 + 2x + 5 (c A / x - 1 + B / x + 1 + Cx + D / x^2 + 2x + 5 (d A / x - 1 + B / (x - 1)^2 + C / x + 1 + D / (x + 1)^2 + E / x^2 + 2x + 5
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The expression is: $$\frac{x^2 + 4x + 5}{(x^2 - 1)^2(x^2 + 2x + 5)}$$ Show more…
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