Comment #12 on issue 2050 by [email protected]: factoring of powers with Rational bases and hidden positive bases
http://code.google.com/p/sympy/issues/detail?id=2050

From the OP, the single term factors:

    >>> factor(sqrt(1-x**2))
    sqrt(-x + 1)*sqrt(x + 1)

But when the other term is added, it doesn't factor

    >>> factor(sqrt(1-x**2) + sqrt(1-x))
    sqrt(-x + 1) + sqrt(-x**2 + 1)

    >>> factor(sqrt(1-x)+factor(sqrt(1-x**2)))
    sqrt(-x + 1)*(sqrt(x + 1) + 1)

The use of powdenest for the other example gives this:

    >>> factor(4**x+2**x)
    2**x + 4**x
    >>> factor(powdenest(_))
    2**x*(2**x + 1)

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