因式分解2x^2-2x+1/2)/(x-1/2)

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因式分解2x^2-2x+1/2)/(x-1/2)

因式分解2x^2-2x+1/2)/(x-1/2)
因式分解2x^2-2x+1/2)/(x-1/2)

因式分解2x^2-2x+1/2)/(x-1/2)
(2x^2-2x+1/2)÷(x-1/2)
=[(2x^2-x)-(x-1/2)]/(x-1/2)
=[2x(x-1/2)-(x-1/2)]/(x-1/2)
=(x-1/2)(2x-1)/(x-1/2)
=2x-1