4x^2-(x^2+1)^2分解因式

2025-04-04 23:16:02
推荐回答(4个)
回答1:

分解因式:x+4x-1

回答2:

原式=(2x+x^2+1)(2x-x^2-1)
=-(x+1)^2(x-1)^2

回答3:

4x^2-(x^2+1)^2
=(2x+x^2+1)(2x-x^2-1)
=-(x-1)^2(x+1)^2

回答4:

4x^2-(x^2+1)^2
=4x²-x^4-1-2x²
=-x^4-1+2x²
=-(x²-1)²
=-(x+1)²(x-1)²