因式分解：x2-y2+2x+2y mn-m-n+1

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因式分解：x2-y2+2x+2ymn-m-n+1因式分解：x2-y2+2x+2ymn-m-n+1因式分解：x2-y2+2x+2ymn-m-n+1x2-y2+2x+2y=﹙x＋y﹚﹙x－y﹚＋2﹙x＋y

因式分解：x2-y2+2x+2y mn-m-n+1
因式分解：x2-y2+2x+2y mn-m-n+1

因式分解：x2-y2+2x+2y mn-m-n+1
x2-y2+2x+2y
=﹙x＋y﹚﹙x－y﹚＋2﹙x＋y﹚
=﹙x＋y﹚﹙x－y＋2﹚
mn-m-n+1
=m﹙n－1﹚－﹙n－1﹚
=﹙m－1﹚﹙n－1﹚

x2-y2+2x+2y =(x+y)(x-y)+2(x+y)=(x+y)(x-y+2)

x^2-y^2+2x+2y=(x-y+2)(x+y);mn-m-n+1=(m-1)(n-1)

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