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ira [324]
3 years ago
6

Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical va

lues of the coefficients. ) x2 x2 x 6
Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

The answer is "\frac{A}{(x-2)} + \frac{B}{(x+3)}"

Step-by-step explanation:

Let the given value is: \frac{x-6}{x^2+x-6}

\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\

                =\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}

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\bf \begin{array}{|c|ll}
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