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1) x²y/x^8y^7 = 1/x^6y^6
2) - (3x^4y^4)/6x^7 = - y^4/2x³
3) (- 15x²y^7)/(- 9x^9y^8c) = 5/3x^7yc
4) (4x + 16)/x² - 16 = 4(x + 4)/(x - 4)(x + 4) = 4/x - 4
5) (x² - 14x + 49)/(x² - 49) = (x - 7)(x - 7)/ (x - 7)(x + 7) = (x - 7)/(x + 7)
6) (x^8 - x^6)/(x + 1) = x^6(x² - 1)/(x + 1) = x^6(x - 1)(x + 1)/(x + 1) =
= x^6(x - 1)
7) (2 - 2b²)/ (4b² - 8b + 4) = 2(1 - b²)/4(b - 1)(b - 1) = - (1 + b)/ 2(b - 1) =
(1 + b)/(1 - b)
8) (a² + 2ab + b²)/(a² -b²) = (a + b)(a + b)/(a + b)(a - b) = (a + b)/(a - b)
9) (12y³ - 8y²)/(2 - 3y) = 4y²(3y- 2)/(2 - 3y) = - 4y²
2) - (3x^4y^4)/6x^7 = - y^4/2x³
3) (- 15x²y^7)/(- 9x^9y^8c) = 5/3x^7yc
4) (4x + 16)/x² - 16 = 4(x + 4)/(x - 4)(x + 4) = 4/x - 4
5) (x² - 14x + 49)/(x² - 49) = (x - 7)(x - 7)/ (x - 7)(x + 7) = (x - 7)/(x + 7)
6) (x^8 - x^6)/(x + 1) = x^6(x² - 1)/(x + 1) = x^6(x - 1)(x + 1)/(x + 1) =
= x^6(x - 1)
7) (2 - 2b²)/ (4b² - 8b + 4) = 2(1 - b²)/4(b - 1)(b - 1) = - (1 + b)/ 2(b - 1) =
(1 + b)/(1 - b)
8) (a² + 2ab + b²)/(a² -b²) = (a + b)(a + b)/(a + b)(a - b) = (a + b)/(a - b)
9) (12y³ - 8y²)/(2 - 3y) = 4y²(3y- 2)/(2 - 3y) = - 4y²
Ответ дал:
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![4(x+4)/[(x-4)(x+4)]=4/(x-4) 4(x+4)/[(x-4)(x+4)]=4/(x-4)](https://tex.z-dn.net/?f=4%28x%2B4%29%2F%5B%28x-4%29%28x%2B4%29%5D%3D4%2F%28x-4%29)
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![(x-7)^2/[(x-7)(x+7)]=(x-7)/(x+7) (x-7)^2/[(x-7)(x+7)]=(x-7)/(x+7)](https://tex.z-dn.net/?f=%28x-7%29%5E2%2F%5B%28x-7%29%28x%2B7%29%5D%3D%28x-7%29%2F%28x%2B7%29)
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![2(1-b^2)/[4(1-2b+b^2)]=(1-b)(1+b)/[2(1-b)^2]=(1+b)/[2(1-b 2(1-b^2)/[4(1-2b+b^2)]=(1-b)(1+b)/[2(1-b)^2]=(1+b)/[2(1-b](https://tex.z-dn.net/?f=2%281-b%5E2%29%2F%5B4%281-2b%2Bb%5E2%29%5D%3D%281-b%29%281%2Bb%29%2F%5B2%281-b%29%5E2%5D%3D%281%2Bb%29%2F%5B2%281-b)
![)] )]](https://tex.z-dn.net/?f=%29%5D)
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![(a+b)^2/[(a-b)(a+b)]=(a+b)/(a-b) (a+b)^2/[(a-b)(a+b)]=(a+b)/(a-b)](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%2F%5B%28a-b%29%28a%2Bb%29%5D%3D%28a%2Bb%29%2F%28a-b%29)
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![4y^2(3y-2)/[-(3y-2)]=-4y^2 4y^2(3y-2)/[-(3y-2)]=-4y^2](https://tex.z-dn.net/?f=4y%5E2%283y-2%29%2F%5B-%283y-2%29%5D%3D-4y%5E2)
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