Question

请帮忙因式分解：x^4-2ax^2+x+a^2-a

如题

Answer 1

x^4-2ax^2+x+a^2-a
=x^4-ax^2+x-ax^2+a^2-a
=x^4-ax^2+x-ax+ax-ax^2+a^2-a
=x^4-ax^2+x-ax+a(a-x^2+x-1)
=x^4-ax^2+x^3-x^3+x^2-x^2+x-ax+a(a-x^2+x-1)
=-x^2(a-x^2+x-1)-x(a-x^2+x-1)+a(a-x^2+x-1)
=(a-x^2-x)(a-x^2+x-1)
希望对你有帮助！O(∩_∩)O~祝你学习进步！！！

Answer 2

x^4-2ax^2+x+a^2-a
=（x^2-a)^2+x-a
=[(x+a)(x-a)]^2+(x-a)
=(x+a)^2(x-a)^2+(x-a)
=(x-a)[(x+a)^2(x-a+1)]

Answer 3

x^4-2ax^2+x+a^2-a
=(x^4-2ax^2+a^2)+(x-a)
=(x-a)^2+(x-a)
=(x-a)(x-a+1).

Answer 4

x^4-2ax^2+x+a^2-a
=(x^4-2ax^2+a^2)+(x-a)
=(x^2-a)^2+(x-a)
??