x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解
问题描述：
x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解
答
x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4=(x^4-6x^2y^2+9y^4)-2z²(x^2-3y^2)-24z^4=(x²-3y²)²-2z²(x²-3y²)-24z^4=(x²-3y²+4z²)(x²-3y²-6z²)