求做因式分解 3x^2(x-y)^2-27(y-x)^4

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求做因式分解3x^2(x-y)^2-27(y-x)^4求做因式分解3x^2(x-y)^2-27(y-x)^4求做因式分解3x^2(x-y)^2-27(y-x)^4=3(x-y)^2[x^2-(x-y)

求做因式分解 3x^2(x-y)^2-27(y-x)^4
求做因式分解 3x^2(x-y)^2-27(y-x)^4

求做因式分解 3x^2(x-y)^2-27(y-x)^4
=3(x-y)^2[x^2-(x-y)^2]
=3(x-y)^2(x+x-y)(x-x+y)
=3y(x-y)^2(2x-y)

原式=3(x-y)^2(x^2-(3x-3y)^2)
=3(x-y)^2(x+3x-3y)(x-3x+3y)
=3(x-y)^2(4x-3y)(3y-2x)

12(X-Y)^(2+27)

3x²(x-y)²-27(y-x)⁴
=3{[x(x-y)]²-[3(x-y)]⁴}
=3[x(x-y)+3(x-y)²][x(x-y)-3(x-y)²]
=3[(x-y)(x+3x-3y)][(x-y)(x-3x+3y)]
=-3(x-y)²(4x-3y)(2x-3y)