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Sum the following infinite series (p-q...

Sum the following infinite series `(p-q) (p+q) + (1)/(2!) (p-q)(p+q) (p^(2) + q^(2))+(1)/(3!) (p-q) (p+q) (p^(4)+q^(4)+p^(2) q^(2)) + ...oo`

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To find the sum of the infinite series \[ (p-q)(p+q) + \frac{1}{2!}(p-q)(p+q)(p^2 + q^2) + \frac{1}{3!}(p-q)(p+q)(p^4 + q^4 + p^2 q^2) + \ldots \] we can start by rewriting the series in a more manageable form. ...
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