因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²

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因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²因式分解(6x-1)(2x-1)(3x-1)(x-1)+x&

因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²
因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²

因式分解(6x-1)(2x-1)(3x-1)(x-1)+x²
(6x-1)(2x-1)(3x-1)(x-1)+x^2
=[(6x-1)(x-1)][(2x-1)(3x-1)]+x^2
=[(6x^2+1)-7x][(6x^2+1)-5x]+x^2
=(6x^2+1)^2-12x(6x^2+1)+35x^2+x^2
=(6x^2+1)^2-12x(6x^2+1)+36x^2
=(6x^2+1)^2-2*(6x)*(6x^2+1)+(6x)^2
=(6x^2-6x+1)^2

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