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分解因式:(x^2-y+1)(x^2+1)+x^2y+y-x^2(要有详细过程)

题目详情
分解因式:(x^2-y+1)(x^2+1)+x^2y+y-x^2(要有详细过程)
▼优质解答
答案和解析
(x^2-y+1)(x^2+1)+x^2y+y-x^2
=(x^2-y+1)(x^2+1)+y(x^2+1)-x^2
=(x^2+1)(x^2-y+1+y)-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)