
因式分解 (x+y)^2-(x+y)-1
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=(x+y)^2-(x+y)+1/4-5/4
=(x+y-1/2)^2-5/4
=(x+y-1/2+√5/2)(x+y-1/2-√5/2)
=[x+y+(√5-1)/2][x+y-(√5+1)/2]
=(x+y-1/2)^2-5/4
=(x+y-1/2+√5/2)(x+y-1/2-√5/2)
=[x+y+(√5-1)/2][x+y-(√5+1)/2]
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