Question

完全立方差公式完全立方和公式立方差公式的联系

Answer 1

立方差公式与立方和公式

x^3-y^3=(x-y)(x^2+xy+y^2)

x^3+y^3=(x+y)(x^2-xy+y^2)

相互转换的方法

x^3-(-y)^3=[x-(-y)]*[x^2+x*(-y)+(-y)^2]

==>> x^3+y^3=(x+y)(x^2-xy+y^2)

x^3+(-y)^3=[x+(-y)]*[x^2-x*(-y)+(-y)^2]

==>>x^3-y^3=(x-y)(x^2+xy+y^2)