因式分解x^6-x^2y^4

问题描述:

因式分解x^6-x^2y^4

x^6-x^2y^4
=x^2 * (X^4 - Y^4)
=x^2 *(x^2 - Y^2)*(x^2+Y^2)
=x^2 *(x^2+Y^2)* (X+Y)*(X-Y)

x^6-x^2y^4
=x^2(x^4-y^4)
=x^2(x^2+y^2)(x+y)(x-y)

x^6-x^2y^4
=x^2(x^4-y^4)
=x^2(x^2+y^2)(x^2-y^2)
=x^2(x^2+y^2)(x+y)(x-y)

=x² (x^4-y^4)
=x² (x² +y² )(x² -y² )
=x² (x² +y² )(x+y)(x-y)