因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(a-b)²-12(b-a)

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因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(a-b)²-12(b-a)因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(

因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(a-b)²-12(b-a)
因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(a-b)²-12(b-a)

因式分解:x^3-x,3ax^2-6axy+3ay^2,3a^2-27b^2,8(a-b)²-12(b-a)
x^3-x
=x(x^2-1)
=x(x+1)(x-1)
3ax^2-6axy+3ay^2
=3a(x^2-2xy+y^2)
=3a(x-y)^2
3a^2-27b^2
=3(a^2-9b^2)
=3(a+3b)(a-3b)
8(a-b)²-12(b-a)
=8(a-b)^2+12(a-b)
=4(a-b)(2a-2b+3a-3b)
=4(a-b)(5a-5b)
=20(a-b)^2

x^3-x=x(x-1)(x+1)
3ax^2-6axy+3ay^2=3a(x-y)^2
3a^2-27b^2=3(a-3b)(a+3b)
8(a-b)²-12(b-a) =4(a-b)(2a-2b+3)

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