x4-x2怎么分解因式

来源:百度知道 编辑:UC知道 时间:2024/05/26 06:00:51

x4-x2=x2(x2-1)=x2(x+1)(x-1)
先提公因式x2,剩下(x2-1)用平方差公式分解成(x+1)(x-1),就得到
x2(x+1)(x-1)

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

x4-x2
=(x2-x)(x2+x)
=x2(x-1)(x+1)

原式=X^2(X^2-1)=X^2(X+1)(X-1)
先提公因式,再用平方差!!!

分解因式:
x^4-x^2
=x^2(x^2-1)
=x^2(x-1)(x+1)