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因式分解 x的二次方(x-y)+y的二次方(y-x)
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X^2(X-Y)+Y^2(Y-X)
=X^3-YX^2+Y^3-XY^2
=(X^3+Y^3)-XY(X+Y)
=(X+Y)(X^2-XY+Y^2)-XY(X+Y)
=(X+Y)(X^2-XY+Y^2-XY)
=(X+Y)(X^2-2XY+Y^2)
=(X+Y)(X-Y)^2
=X^3-YX^2+Y^3-XY^2
=(X^3+Y^3)-XY(X+Y)
=(X+Y)(X^2-XY+Y^2)-XY(X+Y)
=(X+Y)(X^2-XY+Y^2-XY)
=(X+Y)(X^2-2XY+Y^2)
=(X+Y)(X-Y)^2
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=(X-Y)(X方-Y方)
=(X-Y)方(X+Y)
=(X-Y)方(X+Y)
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