It is known that f (x) is an odd function defined on R. when x ≥ 0, f (x) = x2-2x, then the expression of F (x) on (- ∞, 0) is______ .
∵ f (x) is an odd function defined on R, ∵ f (- x) = - f (x), ∵ when x ≥ 0, f (x) = x2-2x, ∵ when x < 0, - x > 0, f (x) = - f (- x) = - [(- x) 2-2 (- x)] = - x2-2x, (x < 0), so the answer is: F (x) = - x2-2x
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