X^2+4X-XY-2Y+4因式分解

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X^2+4X-XY-2Y+4因式分解
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X^2+4X-XY-2Y+4因式分解
X^2+4X-XY-2Y+4因式分解

X^2+4X-XY-2Y+4因式分解
x²+4x-xy-2y+4
=(x²+4x+4)-(xy+2y)
=(x+2)²-y(x+2)
=(x+2)[(x+2)-y]
=(x+2)(x-y+2)

(X^2+4X+4)-(XY+2Y)=(X+2)^2-Y(X+2)=(X+2)(X+2-Y)