Question: match return false, how to parametrization of this?

c := -x2^3+x1^3+x0*x1^2;

subs(x0 = a1*u+a2*v, subs(x1 = a3*u+a4*v, subs(x2 = a5*u+a6*v, c)))

match(-x2^3+x1^3+x0*x1^2 = -(a5*u+a6*v)^3+(a3*u+a4*v)^3+(a1*u+a2*v)*(a3*u+a4*v)^2, {x0, x1, x2}, 's');


how to find a1,a2,...a6

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