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Задание 1.
a)![frac{12a+6}{3} = frac{3(4a+2)}{3} = 4a +2 frac{12a+6}{3} = frac{3(4a+2)}{3} = 4a +2](https://tex.z-dn.net/?f=+frac%7B12a%2B6%7D%7B3%7D+%3D++frac%7B3%284a%2B2%29%7D%7B3%7D+%3D++4a++%2B2)
б)![frac{4a^2-3ab}{2a} = frac{a(4a-3b)}{2a} = frac{4a-3b}{2} = 0,5(4a - 3b) = 2a - 1,5b frac{4a^2-3ab}{2a} = frac{a(4a-3b)}{2a} = frac{4a-3b}{2} = 0,5(4a - 3b) = 2a - 1,5b](https://tex.z-dn.net/?f=+frac%7B4a%5E2-3ab%7D%7B2a%7D++%3D++frac%7Ba%284a-3b%29%7D%7B2a%7D+%3D+frac%7B4a-3b%7D%7B2%7D+%3D+0%2C5%284a+-+3b%29+%3D+2a+-+1%2C5b)
в)![frac{-a^5b^3+3a^6b^2}{4a^4b^2} = frac{a^4b^2(-ab+3a^2)}{4a^4b^2} = 0,25(-ab+3a^2) = -0,25ab+0,75a^2 frac{-a^5b^3+3a^6b^2}{4a^4b^2} = frac{a^4b^2(-ab+3a^2)}{4a^4b^2} = 0,25(-ab+3a^2) = -0,25ab+0,75a^2](https://tex.z-dn.net/?f=+frac%7B-a%5E5b%5E3%2B3a%5E6b%5E2%7D%7B4a%5E4b%5E2%7D+%3D++frac%7Ba%5E4b%5E2%28-ab%2B3a%5E2%29%7D%7B4a%5E4b%5E2%7D+%3D+0%2C25%28-ab%2B3a%5E2%29+%3D+-0%2C25ab%2B0%2C75a%5E2)
г)![frac{2ab+6a^2b^2-4b}{4b} = frac{4b(0,5a+1,5a^2b-1)}{4b} = 0,5a + 1,5a^2b-1 frac{2ab+6a^2b^2-4b}{4b} = frac{4b(0,5a+1,5a^2b-1)}{4b} = 0,5a + 1,5a^2b-1](https://tex.z-dn.net/?f=+frac%7B2ab%2B6a%5E2b%5E2-4b%7D%7B4b%7D+%3D++frac%7B4b%280%2C5a%2B1%2C5a%5E2b-1%29%7D%7B4b%7D+%3D+0%2C5a+%2B+1%2C5a%5E2b-1)
Задание 2.
а)![frac{7y^4+4y^2}{y^2}+ frac{14y^3-6y}{2y} = frac{y^2(7y^2+4)}{y^2} + frac{2y(7y^2-3)}{2y} =7y^2+4+7y^2-3=14y^2 frac{7y^4+4y^2}{y^2}+ frac{14y^3-6y}{2y} = frac{y^2(7y^2+4)}{y^2} + frac{2y(7y^2-3)}{2y} =7y^2+4+7y^2-3=14y^2](https://tex.z-dn.net/?f=+frac%7B7y%5E4%2B4y%5E2%7D%7By%5E2%7D%2B+frac%7B14y%5E3-6y%7D%7B2y%7D+%3D+frac%7By%5E2%287y%5E2%2B4%29%7D%7By%5E2%7D+%2B+frac%7B2y%287y%5E2-3%29%7D%7B2y%7D+%3D7y%5E2%2B4%2B7y%5E2-3%3D14y%5E2+)
![+1 +1](https://tex.z-dn.net/?f=%2B1)
б)![frac{10b^5+15b^3}{5b^2} - frac{b^4-b^2}{b} = frac{5b^2(2b^3+3b)}{5b^2}- frac{b(b^3-b)}{b} = 2b^3+3b-b^3+b=b^3+4b frac{10b^5+15b^3}{5b^2} - frac{b^4-b^2}{b} = frac{5b^2(2b^3+3b)}{5b^2}- frac{b(b^3-b)}{b} = 2b^3+3b-b^3+b=b^3+4b](https://tex.z-dn.net/?f=+frac%7B10b%5E5%2B15b%5E3%7D%7B5b%5E2%7D+-++frac%7Bb%5E4-b%5E2%7D%7Bb%7D+%3D++frac%7B5b%5E2%282b%5E3%2B3b%29%7D%7B5b%5E2%7D-+frac%7Bb%28b%5E3-b%29%7D%7Bb%7D+%3D+2b%5E3%2B3b-b%5E3%2Bb%3Db%5E3%2B4b)
Задание 3.
при x = -8
-3 * (-8) = 24
a)
б)
в)
г)
Задание 2.
а)
б)
Задание 3.
-3 * (-8) = 24
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