对 (6x-1)(2x-1)(3x-1)(x-1)+x^2 进行因式分解.

2020-06-21 娱乐 121阅读
(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)^2-12(6x^2+1)x+35x^2+x^2
=(6x^2+1)^2-12(6x^2+1)x+36x^2
=[(6x^2+1)-6x]^2
=(6x^2-6x+1)^2
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