Сократите дроби пожалуйста!:1.а)-8x/40xy
б)3a^2/12a
в)3x^5y/12x^3y^3
2.а)3x+6b/6(x+2b)
б)c^2-12c+36/3c-18
в)3y^2+12y/y^2-16
3.а)3b/12xb
б)5a^2/20a
в)x^6y^2/x^4y^3
4.а)2x+2b/6(x+b)
б)a^2-10a+25/6a-30
в)4y-32/y^2-64
Ответ
3
1) а)![\frac{-8x}{40xy} = -\frac{1}{5y} \frac{-8x}{40xy} = -\frac{1}{5y}](https://tex.z-dn.net/?f=+%5Cfrac%7B-8x%7D%7B40xy%7D+%3D+-%5Cfrac%7B1%7D%7B5y%7D+)
б)![\frac{3a^{2}}{12a}= \frac{a}{4} \frac{3a^{2}}{12a}= \frac{a}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3a%5E%7B2%7D%7D%7B12a%7D%3D+%5Cfrac%7Ba%7D%7B4%7D+)
в)![\frac{3x^{5}y}{12x^{3}y^{3}}= \frac{x^{2}}{4y^{2}} \frac{3x^{5}y}{12x^{3}y^{3}}= \frac{x^{2}}{4y^{2}}](https://tex.z-dn.net/?f=+%5Cfrac%7B3x%5E%7B5%7Dy%7D%7B12x%5E%7B3%7Dy%5E%7B3%7D%7D%3D+%5Cfrac%7Bx%5E%7B2%7D%7D%7B4y%5E%7B2%7D%7D+)
2) а)![\frac{3x+6b}{6(x+2b)}= \frac{3(x+2b)}{6(x+2b)}= \frac{1}{2} \frac{3x+6b}{6(x+2b)}= \frac{3(x+2b)}{6(x+2b)}= \frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B3x%2B6b%7D%7B6%28x%2B2b%29%7D%3D+%5Cfrac%7B3%28x%2B2b%29%7D%7B6%28x%2B2b%29%7D%3D+%5Cfrac%7B1%7D%7B2%7D+)
б)![\frac{c^{2}-12c+36}{3c-18}= \frac{(c-6)^{2}}{3(c-6)}= \frac{c-6}{3} \frac{c^{2}-12c+36}{3c-18}= \frac{(c-6)^{2}}{3(c-6)}= \frac{c-6}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7Bc%5E%7B2%7D-12c%2B36%7D%7B3c-18%7D%3D+%5Cfrac%7B%28c-6%29%5E%7B2%7D%7D%7B3%28c-6%29%7D%3D+%5Cfrac%7Bc-6%7D%7B3%7D++)
в)![\frac{3y^{2}+12y}{y^{2}-16}= \frac{3y(y+4)}{(y-4)(y+4)}= \frac{3y}{y-4} \frac{3y^{2}+12y}{y^{2}-16}= \frac{3y(y+4)}{(y-4)(y+4)}= \frac{3y}{y-4}](https://tex.z-dn.net/?f=+%5Cfrac%7B3y%5E%7B2%7D%2B12y%7D%7By%5E%7B2%7D-16%7D%3D+%5Cfrac%7B3y%28y%2B4%29%7D%7B%28y-4%29%28y%2B4%29%7D%3D+%5Cfrac%7B3y%7D%7By-4%7D++)
3) а)![\frac{3b}{12bx}= \frac{1}{4x} \frac{3b}{12bx}= \frac{1}{4x}](https://tex.z-dn.net/?f=+%5Cfrac%7B3b%7D%7B12bx%7D%3D+%5Cfrac%7B1%7D%7B4x%7D+)
б)![\frac{5a^{2}}{20a} = \frac{a}{4} \frac{5a^{2}}{20a} = \frac{a}{4}](https://tex.z-dn.net/?f=+%5Cfrac%7B5a%5E%7B2%7D%7D%7B20a%7D+%3D++%5Cfrac%7Ba%7D%7B4%7D+)
в)![\frac{x^{6}y^{2}}{x^{4}y^{3}}= \frac{x^{2}}{y} \frac{x^{6}y^{2}}{x^{4}y^{3}}= \frac{x^{2}}{y}](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%5E%7B6%7Dy%5E%7B2%7D%7D%7Bx%5E%7B4%7Dy%5E%7B3%7D%7D%3D+%5Cfrac%7Bx%5E%7B2%7D%7D%7By%7D++)
4) a)![\frac{2x+2b}{6(x+b)}= \frac{2(x+b)}{6(x+b)}= \frac{1}{3} \frac{2x+2b}{6(x+b)}= \frac{2(x+b)}{6(x+b)}= \frac{1}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7B2x%2B2b%7D%7B6%28x%2Bb%29%7D%3D+%5Cfrac%7B2%28x%2Bb%29%7D%7B6%28x%2Bb%29%7D%3D+%5Cfrac%7B1%7D%7B3%7D+++)
б)![\frac{a^{2}-10a+25}{6a-30} = \frac{(a-5)^{2}}{6(a-5)}= \frac{a-5}{6} \frac{a^{2}-10a+25}{6a-30} = \frac{(a-5)^{2}}{6(a-5)}= \frac{a-5}{6}](https://tex.z-dn.net/?f=+%5Cfrac%7Ba%5E%7B2%7D-10a%2B25%7D%7B6a-30%7D+%3D+%5Cfrac%7B%28a-5%29%5E%7B2%7D%7D%7B6%28a-5%29%7D%3D+%5Cfrac%7Ba-5%7D%7B6%7D++)
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