To simplify the expression (3x^2 + 4x - 3 - (x^2 - 2x + 3)), first distribute the negative sign: (3x^2 + 4x - 3 - x^2 + 2x - 3). Next, combine like terms: ( (3x^2 - x^2) + (4x + 2x) + (-3 - 3) = 2x^2 + 6x - 6). Thus, the simplified expression is (2x^2 + 6x - 6).
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