9n^2-4m^2-1+4m因式分解 (>__数学解答

9n^2-4m^2-1+4m因式分解 (>_

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解答

9n²-4m²-1+4m
=9n²-(4m²-4m+1)
=9n²-(2m-1)²
=[3n+(2m-1)][3n-(2m-1)]
=(3n+2m-1)(3n-2m+1)