因式分解(x^2-7x+6)(x^2-x-6)+56

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因式分解(x^2-7x+6)(x^2-x-6)+56
因式分解(x^2-7x+6)(x^2-x-6)+56

因式分解(x^2-7x+6)(x^2-x-6)+56
=(x-1)(x-6)(x+2)(x-3)+56 乘式中1,4 2,3 结合
=(x^2-4x+3)(x^2-4x-12)+56 将x^2-4x看做一项
=(x^2-4x)^2-9(x^2-4x)+20
=(x^2-4x-4)(x^2-4x-5)

(x-1)(x-6)(x-3)(x+2)+56=(x^2-4x+3)(x^2-4x-12)+56

=(x-1)(x-6)(x+2)(x-3)+56
=(x^2-4x+3)(x^2-4x-12)+56
=(x^2-4x)^2-9(x^2-4x)+20
=(x^2-4x-4)(x^2-4x-5)
=(x^2-4x-4)(x-5)(x+1)
楼上没有分解完~^_^

用电脑算的。。应该不会错(-5 + x) (1 + x) (-4 - 4 x + x^2)