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Resolve (16)/((x-2)(x+2)^(2)) into parti...

Resolve `(16)/((x-2)(x+2)^(2))` into partial fractions.

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To resolve the expression \( \frac{16}{(x-2)(x+2)^2} \) into partial fractions, we follow these steps: ### Step 1: Set Up the Partial Fraction Decomposition We start by expressing the given fraction as a sum of simpler fractions. Since the denominator consists of two distinct factors, \( (x-2) \) and \( (x+2)^2 \), we can write: \[ \frac{16}{(x-2)(x+2)^2} = \frac{A}{x-2} + \frac{B}{x+2} + \frac{C}{(x+2)^2} \] ...
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