x^3-3xy^2+i(3xy^2-y^3)如何变成z^3

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x^3-3xy^2+i(3xy^2-y^3)如何变成z^3
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x^3-3xy^2+i(3xy^2-y^3)如何变成z^3
x^3-3xy^2+i(3xy^2-y^3)如何变成z^3

x^3-3xy^2+i(3xy^2-y^3)如何变成z^3
x^3-3xy^2+i(3xy^2-y^3)
=x^3+3x(yi)^2+i3xy^2+(yi)^3
=(x+yi)^3
=z^3

是i(3x²y-y³)
原式=x³+3x(yi)²+3x²(yi)+(yi)³
=(x+yi)³