x5-x3+x2-1因式分解

2025-06-20 19:07:35
推荐回答(4个)
回答1:


回答2:

x^5-x^3+x^2-1
=(x^5+x^2)-(x^3+1)
=x^2(x^3+1)-(x^3+1)
=(x^3+1)(x^2-1)
=(x+1)(x^2-x+1)(x+1)(x-1)
=(x+1)^2(x^2-x+1)(x-1)

回答3:

x5-x3+x2-1
=x³(x²-1)+(x²-1)
=(x²-1)(x³+1)
=(x+1)²(x-1)(x²-x+1)

回答4:

=4X-1
=(2X+1)(2X-1)