Задание № 1
![x(b+c)+3b+3c=x(b+c)+(3b+3c)=x(b+c)+3(b+c)=(b+c)(x+3) x(b+c)+3b+3c=x(b+c)+(3b+3c)=x(b+c)+3(b+c)=(b+c)(x+3)](https://tex.z-dn.net/?f=x%28b%2Bc%29%2B3b%2B3c%3Dx%28b%2Bc%29%2B%283b%2B3c%29%3Dx%28b%2Bc%29%2B3%28b%2Bc%29%3D%28b%2Bc%29%28x%2B3%29)
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![y(a-c)+5a-5c=y(a-c)+(5a-5c)=y(a-c)+5(a-c)=(a-c)(y+5) y(a-c)+5a-5c=y(a-c)+(5a-5c)=y(a-c)+5(a-c)=(a-c)(y+5)](https://tex.z-dn.net/?f=y%28a-c%29%2B5a-5c%3Dy%28a-c%29%2B%285a-5c%29%3Dy%28a-c%29%2B5%28a-c%29%3D%28a-c%29%28y%2B5%29)
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![p(c-d)+c-d=p(c-d)+(c-d)=p(c-d)+1(c-d)=(c-d)(p+1) p(c-d)+c-d=p(c-d)+(c-d)=p(c-d)+1(c-d)=(c-d)(p+1)](https://tex.z-dn.net/?f=p%28c-d%29%2Bc-d%3Dp%28c-d%29%2B%28c-d%29%3Dp%28c-d%29%2B1%28c-d%29%3D%28c-d%29%28p%2B1%29)
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![a(p-q)+q-p=a(p-q)-p+q=a(p-q)+(-p+q)=a(p-q)-(p-q)=a(p-q)-1(p-q)=(p-q)(a-1) a(p-q)+q-p=a(p-q)-p+q=a(p-q)+(-p+q)=a(p-q)-(p-q)=a(p-q)-1(p-q)=(p-q)(a-1)](https://tex.z-dn.net/?f=a%28p-q%29%2Bq-p%3Da%28p-q%29-p%2Bq%3Da%28p-q%29%2B%28-p%2Bq%29%3Da%28p-q%29-%28p-q%29%3Da%28p-q%29-1%28p-q%29%3D%28p-q%29%28a-1%29)
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Задание № 2
а) ![4-x(x+8)=11-x^{2} 4-x(x+8)=11-x^{2}](https://tex.z-dn.net/?f=4-x%28x%2B8%29%3D11-x%5E%7B2%7D)
![4-x^{2}-8x=11-x^{2} 4-x^{2}-8x=11-x^{2}](https://tex.z-dn.net/?f=4-x%5E%7B2%7D-8x%3D11-x%5E%7B2%7D)
![4-x^{2}-8x-11+x^{2}=0 4-x^{2}-8x-11+x^{2}=0](https://tex.z-dn.net/?f=4-x%5E%7B2%7D-8x-11%2Bx%5E%7B2%7D%3D0)
![-8x-7=0 -8x-7=0](https://tex.z-dn.net/?f=-8x-7%3D0)
![8x=-7 8x=-7](https://tex.z-dn.net/?f=8x%3D-7)
![x=-7:8 x=-7:8](https://tex.z-dn.net/?f=x%3D-7%3A8)
![x=-\frac{7}{8} x=-\frac{7}{8}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B7%7D%7B8%7D)
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б) ![4x(3x-1)-2x(6x+8)=5 4x(3x-1)-2x(6x+8)=5](https://tex.z-dn.net/?f=4x%283x-1%29-2x%286x%2B8%29%3D5)
![12x^{2}-4x-12x^{2}-16x=5 12x^{2}-4x-12x^{2}-16x=5](https://tex.z-dn.net/?f=12x%5E%7B2%7D-4x-12x%5E%7B2%7D-16x%3D5)
![(12x^{2}-12x^{2})+(-4x-16x)=5 (12x^{2}-12x^{2})+(-4x-16x)=5](https://tex.z-dn.net/?f=%2812x%5E%7B2%7D-12x%5E%7B2%7D%29%2B%28-4x-16x%29%3D5)
![-4x-16x=5 -4x-16x=5](https://tex.z-dn.net/?f=-4x-16x%3D5)
![-20x=5 -20x=5](https://tex.z-dn.net/?f=-20x%3D5)
![x=5:(-20) x=5:(-20)](https://tex.z-dn.net/?f=x%3D5%3A%28-20%29)
![x=-\frac{1}{4}=-0,25 x=-\frac{1}{4}=-0,25](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B4%7D%3D-0%2C25)