Question

In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x}{x^2+2 x-3}$

   In Problems 13-46, write the partial fraction decomposition of each rational expression.
   $\frac{x}{x^2+2 x-3}$

Precalculus: pearson new international edition

Precalculus: pearson new international edition

Michael Sullivan 9th Edition

Chapter 11, Problem 33

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Step 1

The expression is \(\frac{x}{x^2 + 2x - 3}\). We start by factoring the quadratic in the denominator: \[ x^2 + 2x - 3 = (x - 1)(x + 3) \] Thus, the expression becomes: \[ \frac{x}{(x - 1)(x + 3)} \] Show more…

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In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x}{x^2+2 x-3}$

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