(x^2-xy)^2-(xy-y^2)^2分解因式
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(x^2-xy)^2-(xy-y^2)^2分解因式
(x^2-xy)^2-(xy-y^2)^2分解因式
(x^2-xy)^2-(xy-y^2)^2分解因式
(x^2-xy)^2-(xy-y^2)^2
=(x^2-xy+xy-y^2)(x^2-xy-xy+y^2)(此步为平方差公式)
=(x^2-y^2)(x^2-2xy+y^2)
=(x+y)(x-y)(x-y)^2
=(x+y)(x-y)^3
x^2-xy-y^2
=(x-y/2)^2-y^2/4-y^2 (此步为配方法)
=(x-y/2)^2-5y^2/4
=(x-y/2)^2-(√5y/2)^2
=(x-y/2+√5y/2)(x-y/2-√5y/2) (此步为平方差公式)
希望对你能有所帮助。
x^2-xy-y^2
=(x-y/2)^2-y^2/4-y^2 (此步为配方法)
=(x-y/2)^2-5y^2/4
=(x-y/2)^2-(√5y/2)^2
=(x-y/2+√5y/2)(x-y/2-√5y/2) (此步为平方差公式)
x^2-xy-y^2
=(x-y/2)^2-y^2/4-y^2 (此步为配方法)
=(x-y/2)^2-5y^2/4
=(x-y/2)^2-(√5y/2)^2
=(x-y/2+√5y/2)(x-y/2-√5y/2) (此步为平方差公式)
是否可以解决您的问题?
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