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a) ![frac{ab^2}{5c}* frac{2c^3}{a^2b} = frac{2ab^2c^3}{5ca^2b}= frac{2c^2b}{5a} frac{ab^2}{5c}* frac{2c^3}{a^2b} = frac{2ab^2c^3}{5ca^2b}= frac{2c^2b}{5a}](https://tex.z-dn.net/?f=+frac%7Bab%5E2%7D%7B5c%7D%2A+frac%7B2c%5E3%7D%7Ba%5E2b%7D+%3D+frac%7B2ab%5E2c%5E3%7D%7B5ca%5E2b%7D%3D+frac%7B2c%5E2b%7D%7B5a%7D++)
б)![frac{a+b}{2ab} : frac{a+b}{8a^2b^2} = frac{a+b}{2ab frac{a+b}{8a^2b^2} } = frac{a+b}{2ab} : frac{a+b}{8a^2b^2} = frac{a+b}{2ab frac{a+b}{8a^2b^2} } =](https://tex.z-dn.net/?f=+frac%7Ba%2Bb%7D%7B2ab%7D+%3A+frac%7Ba%2Bb%7D%7B8a%5E2b%5E2%7D+%3D+frac%7Ba%2Bb%7D%7B2ab+frac%7Ba%2Bb%7D%7B8a%5E2b%5E2%7D+%7D+%3D)
![= frac{8a^2b^2(a+b)}{2ab(a+b)}= frac{8a^2b^2}{2ab}= frac{4a^2b^2}{ab}= = frac{8a^2b^2(a+b)}{2ab(a+b)}= frac{8a^2b^2}{2ab}= frac{4a^2b^2}{ab}=](https://tex.z-dn.net/?f=%3D+frac%7B8a%5E2b%5E2%28a%2Bb%29%7D%7B2ab%28a%2Bb%29%7D%3D+frac%7B8a%5E2b%5E2%7D%7B2ab%7D%3D+frac%7B4a%5E2b%5E2%7D%7Bab%7D%3D+++)
![=4ab =4ab](https://tex.z-dn.net/?f=%3D4ab)
в)![(4a^4b^3):( frac{2a^3b}{a+b} )^3=(4a^4b^3):( frac{2^3a^9b^3}{(a+b)^3} )= (4a^4b^3):( frac{2a^3b}{a+b} )^3=(4a^4b^3):( frac{2^3a^9b^3}{(a+b)^3} )=](https://tex.z-dn.net/?f=%284a%5E4b%5E3%29%3A%28+frac%7B2a%5E3b%7D%7Ba%2Bb%7D+%29%5E3%3D%284a%5E4b%5E3%29%3A%28+frac%7B2%5E3a%5E9b%5E3%7D%7B%28a%2Bb%29%5E3%7D+%29%3D)
![= frac{4a^4b^3(a+b)^3}{2^3a^{3*3}b^3}= frac{4a^4(a+b)^3}{2^3a^{3*3}}= = frac{4a^4b^3(a+b)^3}{2^3a^{3*3}b^3}= frac{4a^4(a+b)^3}{2^3a^{3*3}}=](https://tex.z-dn.net/?f=%3D+frac%7B4a%5E4b%5E3%28a%2Bb%29%5E3%7D%7B2%5E3a%5E%7B3%2A3%7Db%5E3%7D%3D+frac%7B4a%5E4%28a%2Bb%29%5E3%7D%7B2%5E3a%5E%7B3%2A3%7D%7D%3D++)
![= frac{4(a+b)^3}{8a^5}= frac{(a+b)^3}{2a^5} = frac{4(a+b)^3}{8a^5}= frac{(a+b)^3}{2a^5}](https://tex.z-dn.net/?f=%3D+frac%7B4%28a%2Bb%29%5E3%7D%7B8a%5E5%7D%3D++frac%7B%28a%2Bb%29%5E3%7D%7B2a%5E5%7D+)
г)![frac{5a-x}{5a+x} *(5a+x)^2= frac{(5a-x)(5a+x)^2}{5a+x}= (5a-x)(5a+x) frac{5a-x}{5a+x} *(5a+x)^2= frac{(5a-x)(5a+x)^2}{5a+x}= (5a-x)(5a+x)](https://tex.z-dn.net/?f=+frac%7B5a-x%7D%7B5a%2Bx%7D+%2A%285a%2Bx%29%5E2%3D+frac%7B%285a-x%29%285a%2Bx%29%5E2%7D%7B5a%2Bx%7D%3D+%285a-x%29%285a%2Bx%29)
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