因式分解:x2-y2+2x+2y mn-m-n+1

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因式分解:x2-y2+2x+2y mn-m-n+1
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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)