分解因式(2x-y)^3-(2x-y)^2*(x-3y)

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分解因式(2x-y)^3-(2x-y)^2*(x-3y)
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分解因式(2x-y)^3-(2x-y)^2*(x-3y)
分解因式(2x-y)^3-(2x-y)^2*(x-3y)

分解因式(2x-y)^3-(2x-y)^2*(x-3y)
(2x-y)^3-(2x-y)^2*(x-3y)
=(2x-y)^2(2x-y-x+3y)
=(2x-y)^2(x+2y)

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

原式=(2x-y)^2(2x-y-x+3y)=(2x-y)^2(x+2y)

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

(2x-y)^3-[(2x-y)^2](x-3y)
=[(2x-y)^2][(2x-y)-(x-3y)]
=[(2x-y)^2](2x-y-x+3y)
=[(2x-y)^2](x+2y)

(2x-y)((x-y)^2-(x+y)^2