因式分解（简单） (18 22:16:52)-2X+6X2 -3X3 &_数学解答

因式分解（简单） (18 22:16:52)
-2X+6X2 -3X3 X2(X-Y)+(Y-X)Y2

人气：220 ℃　时间：2020-05-28 06:31:42

解答

-2X+6X^2-3X^3
=X(-2X+6X^2-3X^3)
=X(-2+6X-3X^2)
=-X(3X^2-6X+2)
X^2(X-Y)+(Y-X)Y^2
=X^2(X-Y)-(X-Y)Y^2
=(X-Y)(X^2-Y^2)
=(X-Y)(X-Y)(X+Y)
=(X-Y)^2(X+Y)