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![1-(x^2-2xy+y^2)=1^2-(x-y)^2=[1-(x-y)]*[1+(x-y)]= 1-(x^2-2xy+y^2)=1^2-(x-y)^2=[1-(x-y)]*[1+(x-y)]=](https://tex.z-dn.net/?f=1-%28x%5E2-2xy%2By%5E2%29%3D1%5E2-%28x-y%29%5E2%3D%5B1-%28x-y%29%5D%2A%5B1%2B%28x-y%29%5D%3D)

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![a^2-3^2(b^2-2bc+c^2)=[a]^2-[3(b-c))]^2= a^2-3^2(b^2-2bc+c^2)=[a]^2-[3(b-c))]^2=](https://tex.z-dn.net/?f=a%5E2-3%5E2%28b%5E2-2bc%2Bc%5E2%29%3D%5Ba%5D%5E2-%5B3%28b-c%29%29%5D%5E2%3D)

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![2(x^2-10xy+25y^2-1^2)=2[(x-5)^2-1^2]= 2(x^2-10xy+25y^2-1^2)=2[(x-5)^2-1^2]=](https://tex.z-dn.net/?f=2%28x%5E2-10xy%2B25y%5E2-1%5E2%29%3D2%5B%28x-5%29%5E2-1%5E2%5D%3D)
![=2*[(x-5)-1]*[(x-5)+1]=2(x-6)(x-4) =2*[(x-5)-1]*[(x-5)+1]=2(x-6)(x-4)](https://tex.z-dn.net/?f=%3D2%2A%5B%28x-5%29-1%5D%2A%5B%28x-5%29%2B1%5D%3D2%28x-6%29%28x-4%29)
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