Question

因式分解：x^6-y^6

Answer 1

x ^ 6 - y ^ 6
= （x ³ ）² - （y ³）²
= （x ³ + y ³）（x ³ - y ³）

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Answer 2

x^6-y^6
=(x^3-y^3)(x^3+y^3)
=(x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2)

Answer 3

x^6-y^6
=（x^2-y^2)(x^4+x^2y^2+y^4)
=(x-y)(x+y)[(x^2+y^2)^2-x^2y^2]
=(x-y)(x+y)(x^2+xy+y^2)(x^2-xy+y^2)

Answer 4

x^6-y^6=(x-y)(x^5+x^4y+x^3y^2+x^2y^3+xy^4+y^5)

Answer 5

x^6-y^6=(x-y)(x^2+y^2+xy)(x+y)(x^2+y^2-xy)