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5.
А)-5x²+20x-20=-5*(x²-4x+4)=-5*(x-2)²
Б)5y*(x+y)+x*(x+y)=(5y+x)*(x+y)
В)2x-ax+2b-ba=x*(2-a)+b*(2-a)=(x+b)*(2-a)
Г)20m²-5
=5*(4m²-
)=5*(2m-n²)*(2m+n²)
Д)64a³-b³=(4a-b)*(16a²+4ab+b²)
6.![frac{4,2*7,3^2-4,2*2,7^2}{2,1*6,4^2-2,1*3,6^2}= frac{4,2*(7,3^2-2,7^2)}{2,1*(6,4^2-3,6^2)}= frac{2*(7,3-2,7)*(7,3+2,7)}{(6,4-3,6)*(6,4+3,6)}= frac{2*46}{28}=frac{46}{14}=3frac{2}{7} frac{4,2*7,3^2-4,2*2,7^2}{2,1*6,4^2-2,1*3,6^2}= frac{4,2*(7,3^2-2,7^2)}{2,1*(6,4^2-3,6^2)}= frac{2*(7,3-2,7)*(7,3+2,7)}{(6,4-3,6)*(6,4+3,6)}= frac{2*46}{28}=frac{46}{14}=3frac{2}{7}](https://tex.z-dn.net/?f=+frac%7B4%2C2%2A7%2C3%5E2-4%2C2%2A2%2C7%5E2%7D%7B2%2C1%2A6%2C4%5E2-2%2C1%2A3%2C6%5E2%7D%3D+frac%7B4%2C2%2A%287%2C3%5E2-2%2C7%5E2%29%7D%7B2%2C1%2A%286%2C4%5E2-3%2C6%5E2%29%7D%3D+frac%7B2%2A%287%2C3-2%2C7%29%2A%287%2C3%2B2%2C7%29%7D%7B%286%2C4-3%2C6%29%2A%286%2C4%2B3%2C6%29%7D%3D+frac%7B2%2A46%7D%7B28%7D%3Dfrac%7B46%7D%7B14%7D%3D3frac%7B2%7D%7B7%7D)
7.
А)![frac{35x^3y^6}{14xy^3}=frac{5x^2y^3}{2}=2,5x^2y^3 \ \ frac{35x^3y^6}{14xy^3}=frac{5x^2y^3}{2}=2,5x^2y^3 \ \](https://tex.z-dn.net/?f=+frac%7B35x%5E3y%5E6%7D%7B14xy%5E3%7D%3Dfrac%7B5x%5E2y%5E3%7D%7B2%7D%3D2%2C5x%5E2y%5E3+%5C++%5C+)
Б)![frac{m^2+5mk}{m+5k}=frac{m*(m+5k)}{m+5k}=m \ \ frac{m^2+5mk}{m+5k}=frac{m*(m+5k)}{m+5k}=m \ \](https://tex.z-dn.net/?f=+frac%7Bm%5E2%2B5mk%7D%7Bm%2B5k%7D%3Dfrac%7Bm%2A%28m%2B5k%29%7D%7Bm%2B5k%7D%3Dm+%5C++%5C+)
В)![frac{a^2-b^2}{3a-3b}=frac{(a-b)*(a+b)}{3*(a-b)}=frac{a+b}{3} frac{a^2-b^2}{3a-3b}=frac{(a-b)*(a+b)}{3*(a-b)}=frac{a+b}{3}](https://tex.z-dn.net/?f=+frac%7Ba%5E2-b%5E2%7D%7B3a-3b%7D%3Dfrac%7B%28a-b%29%2A%28a%2Bb%29%7D%7B3%2A%28a-b%29%7D%3Dfrac%7Ba%2Bb%7D%7B3%7D+)
Г)![frac{m^2-6m+9}{m-3}=frac{(m-3)^2}{m-3}=m-3 \ \ frac{m^2-6m+9}{m-3}=frac{(m-3)^2}{m-3}=m-3 \ \](https://tex.z-dn.net/?f=+frac%7Bm%5E2-6m%2B9%7D%7Bm-3%7D%3Dfrac%7B%28m-3%29%5E2%7D%7Bm-3%7D%3Dm-3+%5C++%5C+)
Д)
А)-5x²+20x-20=-5*(x²-4x+4)=-5*(x-2)²
Б)5y*(x+y)+x*(x+y)=(5y+x)*(x+y)
В)2x-ax+2b-ba=x*(2-a)+b*(2-a)=(x+b)*(2-a)
Г)20m²-5
Д)64a³-b³=(4a-b)*(16a²+4ab+b²)
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