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margaretzhuravskaya
@margaretzhuravskaya
September 2021
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soudagh
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Answers & Comments
Ответ:
1)![x + 11 x + 11](https://tex.z-dn.net/?f=x%20%2B%2011)
2)![\frac{1}{x + 8} \frac{1}{x + 8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%20%2B%208%7D)
3)![x - 7 x - 7](https://tex.z-dn.net/?f=x%20-%207)
4)![\frac{5}{x-7} \frac{5}{x-7}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bx-7%7D)
Объяснение:
1)![\frac{(x-19)(x + 11)}{(x - 19)} = x +11 \frac{(x-19)(x + 11)}{(x - 19)} = x +11](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-19%29%28x%20%2B%2011%29%7D%7B%28x%20-%2019%29%7D%20%20%3D%20x%20%2B11)
2)![\frac{x - 8}{x^{2} - 64} = \frac{(x - 8)}{(x + 8)(x - 8)} = \frac{1}{x + 8} \frac{x - 8}{x^{2} - 64} = \frac{(x - 8)}{(x + 8)(x - 8)} = \frac{1}{x + 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%208%7D%7Bx%5E%7B2%7D%20-%2064%7D%20%3D%20%5Cfrac%7B%28x%20-%208%29%7D%7B%28x%20%2B%208%29%28x%20-%208%29%7D%20%3D%20%20%20%20%5Cfrac%7B1%7D%7Bx%20%2B%208%7D)
3)![\frac{x^{2} - 8x + 7}{x - 1} = \frac{(x - 1)(x - 7)}{(x - 1)} = x - 7 \frac{x^{2} - 8x + 7}{x - 1} = \frac{(x - 1)(x - 7)}{(x - 1)} = x - 7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%20-%208x%20%2B%207%7D%7Bx%20-%201%7D%20%3D%20%5Cfrac%7B%28x%20-%201%29%28x%20-%207%29%7D%7B%28x%20-%201%29%7D%20%3D%20x%20-%207)
4)![\frac{5x + 15}{x^{2} - 4x - 21} = \frac{5(x + 3)}{(x + 3)(x-7)} = \frac{5}{x - 7} \frac{5x + 15}{x^{2} - 4x - 21} = \frac{5(x + 3)}{(x + 3)(x-7)} = \frac{5}{x - 7}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%20%2B%2015%7D%7Bx%5E%7B2%7D%20-%204x%20-%2021%7D%20%3D%20%5Cfrac%7B5%28x%20%2B%203%29%7D%7B%28x%20%2B%203%29%28x-7%29%7D%20%3D%20%5Cfrac%7B5%7D%7Bx%20-%207%7D)