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您好:
(1)(x²-x)(x²-1)-2x²+2
=(x²-x)(x²-1)-2(x²-1)
= (x²-x-2)(x²-1)
=(x-2)(x+1)(x+1)(x-1)
=(x-1)(x-2)(x+1)²
(2)x^3-7x+6
=x³-x-6x+6
=x(x²-1)-6(x-1)
=x(x-1)(x+1)-6(x-1)
=(x-1)(x²+x-6)
=(x-1)(x-2)(x+3)
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”
如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢。
祝学习进步!
(1)(x²-x)(x²-1)-2x²+2
=(x²-x)(x²-1)-2(x²-1)
= (x²-x-2)(x²-1)
=(x-2)(x+1)(x+1)(x-1)
=(x-1)(x-2)(x+1)²
(2)x^3-7x+6
=x³-x-6x+6
=x(x²-1)-6(x-1)
=x(x-1)(x+1)-6(x-1)
=(x-1)(x²+x-6)
=(x-1)(x-2)(x+3)
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”
如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢。
祝学习进步!
展开全部
(1)
(x²-x)(x²-1)-2x²+2 =(x²-x)(x-1)(x+1) -2(x²-1)=(x²-x)(x-1)(x+1) -2(x-1)(x+1)=(x-1)(x+1)(x²-x-2)=(x-1)(x+1)(x-2)(x+1)
(2)
x^3-7x+6=x^3-7x+6x²-6x²+6=x(x²-7+6x)-6(x²-1)=x(x-1)(x+7)-6(x-1)(x+1) =(x-1)(x²-6+x)=(x-1)(x+3)(x-2)
(x²-x)(x²-1)-2x²+2 =(x²-x)(x-1)(x+1) -2(x²-1)=(x²-x)(x-1)(x+1) -2(x-1)(x+1)=(x-1)(x+1)(x²-x-2)=(x-1)(x+1)(x-2)(x+1)
(2)
x^3-7x+6=x^3-7x+6x²-6x²+6=x(x²-7+6x)-6(x²-1)=x(x-1)(x+7)-6(x-1)(x+1) =(x-1)(x²-6+x)=(x-1)(x+3)(x-2)
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