а) 5у²(у - 4) + (4 - у)² = 5у³ - 20у² + 4² - 8у +у² = 5у³ - 19у² - 8у + 16
б) 125а³ + 150а²b + 90ab² + 27b³ = (5a)³ + (3b)³ + ( 150а²b + 90ab²) = (5a +3b)(25a² - 15ab + 9b²) +30ab(5a + 3b) = (5a + 3b)(25a² - 15ab + 9b² + 30ab) = (5a + 3b)(25a² + 15ab + 9b²)
![5^{3x-1}=0,2\\5^{3x-1}=5^{-1}\\3x-1=-1\\3x=-1+1\\3x=0\\x=0](https://tex.z-dn.net/?f=5%5E%7B3x-1%7D%3D0%2C2%5C%5C5%5E%7B3x-1%7D%3D5%5E%7B-1%7D%5C%5C3x-1%3D-1%5C%5C3x%3D-1%2B1%5C%5C3x%3D0%5C%5Cx%3D0)
![( \frac{6}{11})^{ \frac{4x+1}{x} } \leq \frac{121}{36}\\\\( \frac{6}{11})^{ \frac{4x+1}{x} } \leq (\frac{6}{11})^{-2}\\\\0\ \textless \ \frac{6}{11}\ \textless \ 1\\\\ \frac{4x+1}{x} \geq -2\\\\ \frac{4x+1}{x}+2 \geq 0\\\\ \frac{4x+1+2x}{x} \geq 0\\\\ \frac{6x+1}{x} \geq 0\\\\ \frac{6(x+ \frac{1}{6} }{x} \geq 0](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B6%7D%7B11%7D%29%5E%7B%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%7D%20%5Cleq%20%20%5Cfrac%7B121%7D%7B36%7D%5C%5C%5C%5C%28%20%5Cfrac%7B6%7D%7B11%7D%29%5E%7B%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%7D%20%5Cleq%20%20%28%5Cfrac%7B6%7D%7B11%7D%29%5E%7B-2%7D%5C%5C%5C%5C0%5C%20%5Ctextless%20%5C%20%20%5Cfrac%7B6%7D%7B11%7D%5C%20%5Ctextless%20%5C%201%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%20%5Cgeq%20-2%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%7D%2B2%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B4x%2B1%2B2x%7D%7Bx%7D%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B6x%2B1%7D%7Bx%7D%20%5Cgeq%200%5C%5C%5C%5C%20%5Cfrac%7B6%28x%2B%20%5Cfrac%7B1%7D%7B6%7D%20%7D%7Bx%7D%20%20%5Cgeq%200%20%20%20%20%20%20%20)
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______________[-1/6]______________(0)_________________
x∈(-∞;-1/6]U(0;+∞)
(x^2+2x-35)/(25-x^2)=((x+7)(x-5))/((5-x)(5+x))=-(x+7)/(5+x)