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Simplify `frac((x-1)^2)(x^2 - 1) - 1` assuming `|x| != 1`. You can start with the first simplification step, followed by a chain of equalities.
or
Simplify `4 sin x cos x - sin 4x`. You can again start with your first simplification step.
Simplify `sinh ln(c + sqrt(c^2 + 1))`.
Simplify `cosh ln(c + sqrt(c^2 - 1))` assuming that `c>=1`.
Simplify `(sin omega - cos omega)^2 + sin 2 omega`.
Simplify `cos^2 omega - cos 2 omega`.