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340. ![15xy+3y-5x-1=3y(5x+1)-1(5x+1)=(5x+1)(3y-1) 15xy+3y-5x-1=3y(5x+1)-1(5x+1)=(5x+1)(3y-1)](https://tex.z-dn.net/?f=15xy%2B3y-5x-1%3D3y%285x%2B1%29-1%285x%2B1%29%3D%285x%2B1%29%283y-1%29)
341.![4a^2+b-2a-b^2=(2a-b)(2a+b)-(2a-b)=(2a-b)(2a+b-1) 4a^2+b-2a-b^2=(2a-b)(2a+b)-(2a-b)=(2a-b)(2a+b-1)](https://tex.z-dn.net/?f=4a%5E2%2Bb-2a-b%5E2%3D%282a-b%29%282a%2Bb%29-%282a-b%29%3D%282a-b%29%282a%2Bb-1%29)
342.![x^5-x^4-2x^3+2x^2+x-1=x^4(x-1)-2x^2(x-1)+(x-1)= x^5-x^4-2x^3+2x^2+x-1=x^4(x-1)-2x^2(x-1)+(x-1)=](https://tex.z-dn.net/?f=x%5E5-x%5E4-2x%5E3%2B2x%5E2%2Bx-1%3Dx%5E4%28x-1%29-2x%5E2%28x-1%29%2B%28x-1%29%3D)
![=(x-1)(x^4-2x^2+1)=(x-1)(x^2-1)^2=(x-1)^3(x+1)^2 =(x-1)(x^4-2x^2+1)=(x-1)(x^2-1)^2=(x-1)^3(x+1)^2](https://tex.z-dn.net/?f=%3D%28x-1%29%28x%5E4-2x%5E2%2B1%29%3D%28x-1%29%28x%5E2-1%29%5E2%3D%28x-1%29%5E3%28x%2B1%29%5E2)
343.![ax^2-cx^2-cx+ax-a+c=x^2(a-c)+x(a-c)-(a-c)= ax^2-cx^2-cx+ax-a+c=x^2(a-c)+x(a-c)-(a-c)=](https://tex.z-dn.net/?f=ax%5E2-cx%5E2-cx%2Bax-a%2Bc%3Dx%5E2%28a-c%29%2Bx%28a-c%29-%28a-c%29%3D)
![=(a-c)(x^2+x-1) =(a-c)(x^2+x-1)](https://tex.z-dn.net/?f=%3D%28a-c%29%28x%5E2%2Bx-1%29)
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