x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解

x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解
x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解

x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4因式分解
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)

x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4
=(x²-3y²)²-2z²(x²-3y²)-24z^4
=(x²-3y²+4z²)(x²-3y²-6z²)

=(x^2-3y^2)^2-2z^2(x^2-3y^2)-24z^4
=(x^2-3y^2-6z^2)(x^2-3y^2+4z^2)

x^4-6x^2y^2+9y^4-2x^2z^2+6y^2z^2-24z^4
=(x²-3y²)²-2z²(x²-3y²)-24z^4
=(x²-3y²+4z²)(x²-3y²-6z²)