7(р-5): 3(р-5)=7/3
1) выносим общий множитель за скобки
2) сокращаем то, что стоит в скобках
3) получаем семь третьих ( 7/3)
(3x²y)³-5y⁷ = 27x^6•y^3-5y^7
А2+2аб+б2+а2-2аб+б2
2а2 +2аб
![1)\; \; 3^4=3\cdot 3\cdot 3=27\\\\(-5)^3=(-5)\cdot (-5)\cdot (-5)=-125\\\\(\frac{2}{7})^4=\frac{2^4}{7^4}=\frac{16}{2401}\\\\\\2)\; \; 3,2^5>0\; \; ;\; \; (-1,8)^4>0\; \; ;\; \; (0,2)^3>0\; \; \to \; \; (0,2)^3>2\\\\\\3)\; \; a=1:\; \; 2a^3-1=2-1=1\\\\a=-2:\; \; 2a^3-1=2\cdot (-8)-1=-17\\\\a=0:\; \; 2a^3-1=0-1=-1\\\\x=-1:\; \; 16-3x^4=16-3\cdot 1=13\\\\x=2:\; \; 16-3x^4=16-3\cdot 16=-32\\\\x=0:\; \; 16-3x^4=16-0=16](https://tex.z-dn.net/?f=1%29%5C%3B+%5C%3B+3%5E4%3D3%5Ccdot+3%5Ccdot+3%3D27%5C%5C%5C%5C%28-5%29%5E3%3D%28-5%29%5Ccdot+%28-5%29%5Ccdot+%28-5%29%3D-125%5C%5C%5C%5C%28%5Cfrac%7B2%7D%7B7%7D%29%5E4%3D%5Cfrac%7B2%5E4%7D%7B7%5E4%7D%3D%5Cfrac%7B16%7D%7B2401%7D%5C%5C%5C%5C%5C%5C2%29%5C%3B+%5C%3B+3%2C2%5E5%3E0%5C%3B+%5C%3B+%3B%5C%3B+%5C%3B+%28-1%2C8%29%5E4%3E0%5C%3B+%5C%3B+%3B%5C%3B+%5C%3B+%280%2C2%29%5E3%3E0%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+%280%2C2%29%5E3%3E2%5C%5C%5C%5C%5C%5C3%29%5C%3B+%5C%3B+a%3D1%3A%5C%3B+%5C%3B+2a%5E3-1%3D2-1%3D1%5C%5C%5C%5Ca%3D-2%3A%5C%3B+%5C%3B+2a%5E3-1%3D2%5Ccdot+%28-8%29-1%3D-17%5C%5C%5C%5Ca%3D0%3A%5C%3B+%5C%3B+2a%5E3-1%3D0-1%3D-1%5C%5C%5C%5Cx%3D-1%3A%5C%3B+%5C%3B+16-3x%5E4%3D16-3%5Ccdot+1%3D13%5C%5C%5C%5Cx%3D2%3A%5C%3B+%5C%3B+16-3x%5E4%3D16-3%5Ccdot+16%3D-32%5C%5C%5C%5Cx%3D0%3A%5C%3B+%5C%3B+16-3x%5E4%3D16-0%3D16)
![4)\; \; y=\frac{1}{3}\, x-4\\\\OX:\; \; y=0\; ,\; \frac{1}{3}\, x-4=0\; \; \to \; \; \frac{1}{3}\, x=4\; \; ,\; \; x=4\cdot 3=12\; ;\; \; (12;0)\\\\OY:\; \; x=0\; ,\; y=\frac{1}{3}\cdot 0-4\; \; \to \; \; y=-4\; \; ;\; \; (0;-4)](https://tex.z-dn.net/?f=4%29%5C%3B+%5C%3B+y%3D%5Cfrac%7B1%7D%7B3%7D%5C%2C+x-4%5C%5C%5C%5COX%3A%5C%3B+%5C%3B+y%3D0%5C%3B+%2C%5C%3B+%5Cfrac%7B1%7D%7B3%7D%5C%2C+x-4%3D0%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+%5Cfrac%7B1%7D%7B3%7D%5C%2C+x%3D4%5C%3B+%5C%3B+%2C%5C%3B+%5C%3B+x%3D4%5Ccdot+3%3D12%5C%3B+%3B%5C%3B+%5C%3B+%2812%3B0%29%5C%5C%5C%5COY%3A%5C%3B+%5C%3B+x%3D0%5C%3B+%2C%5C%3B+y%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot+0-4%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+y%3D-4%5C%3B+%5C%3B+%3B%5C%3B+%5C%3B+%280%3B-4%29)
5) a) Прямая проходит через точки (2,1) и (0,2) Подставим координаты этих точек в уравнение прямой y=kx+b:
![\left \{ {{1=k\cdot 2+b} \atop {2=k\cdot 0+b}} \right.\; \; \left \{ {{2k=1-b} \atop {b=2}} \right. \; \; \left \{ {{2k=-1} \atop {b=2}} \right. \; \; \left \{ {{k=-\frac{1}{2}} \atop {b=2}} \right. \\\\y=-\frac{1}{2}\, x+2\\\\b)\; \; (0,0):\; \; y=-\frac{1}{2}\, x+0\; \; \to \; \; y=-\frac{1}{2}\, x](https://tex.z-dn.net/?f=%5Cleft+%5C%7B+%7B%7B1%3Dk%5Ccdot+2%2Bb%7D+%5Catop+%7B2%3Dk%5Ccdot+0%2Bb%7D%7D+%5Cright.%5C%3B+%5C%3B+%5Cleft+%5C%7B+%7B%7B2k%3D1-b%7D+%5Catop+%7Bb%3D2%7D%7D+%5Cright.+%5C%3B+%5C%3B+%5Cleft+%5C%7B+%7B%7B2k%3D-1%7D+%5Catop+%7Bb%3D2%7D%7D+%5Cright.+%5C%3B+%5C%3B+%5Cleft+%5C%7B+%7B%7Bk%3D-%5Cfrac%7B1%7D%7B2%7D%7D+%5Catop+%7Bb%3D2%7D%7D+%5Cright.+%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B2%7D%5C%2C+x%2B2%5C%5C%5C%5Cb%29%5C%3B+%5C%3B+%280%2C0%29%3A%5C%3B+%5C%3B+y%3D-%5Cfrac%7B1%7D%7B2%7D%5C%2C+x%2B0%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+y%3D-%5Cfrac%7B1%7D%7B2%7D%5C%2C+x)
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