after declaring variables make these definitions

sage: a = Z - Z^-1
sage: b = L - L^-1
sage: c = Z^2L-Z^-2L^-1
sage: f = (p*a + q*b + r *c) *a + (n*a + m *b  + l*c) * a*b

Now I can tell it assume(Z^3 * L^2 == -1)    but I can't get it to use
that assumption
in something like  simplify(expand(Z^3*L^2*f))

Indeed after assume(Z^3*L^2 == -1)   it still returns Z^3*L^2  as the
value of that expression, instead of -1  as hoped.

How can I get it to use what it has assumed?


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