因式分解a^2(x-y)^2+2a(x-y)^3+(x-y)^4和（x^2+y^2)^2-4x^2y^2
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a^2(x-y)^2+2a(x-y)^3+(x-y)^4
=(x-y)^2[a^2+2a(x-y)+(x-y)^2]
=(x-y)^2[a+(x-y)]^2
=(x-y)^2(a+x-y)^2
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2-2xy)(x^2+y^2+2xy)
=(x-y)^2(x+y)^2
=(x-y)^2[a^2+2a(x-y)+(x-y)^2]
=(x-y)^2[a+(x-y)]^2
=(x-y)^2(a+x-y)^2
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2-2xy)(x^2+y^2+2xy)
=(x-y)^2(x+y)^2
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