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2.
![frac{ab+1}{2a-b} ... frac{a^2b}{2a+b} \ frac{(2a+b)(ab+1)}{(2a+b)(2a-b)} ... frac{(2a-b)(a^2b)}{(2a-b)(2a+b)} \ frac{2a^2b+2a+ab^2+b}{(2a)^2-b^2} ... frac{2a^3b-a^2b^2}{(2a)^2-b^2} \ frac{2a^2b+2a+ab^2+b}{4a^2-b^2} ... frac{2a^3b-a^2b^2}{4a^2-b^2} \ frac{ab+1}{2a-b} ... frac{a^2b}{2a+b} \ frac{(2a+b)(ab+1)}{(2a+b)(2a-b)} ... frac{(2a-b)(a^2b)}{(2a-b)(2a+b)} \ frac{2a^2b+2a+ab^2+b}{(2a)^2-b^2} ... frac{2a^3b-a^2b^2}{(2a)^2-b^2} \ frac{2a^2b+2a+ab^2+b}{4a^2-b^2} ... frac{2a^3b-a^2b^2}{4a^2-b^2} \](https://tex.z-dn.net/?f=+frac%7Bab%2B1%7D%7B2a-b%7D+...++frac%7Ba%5E2b%7D%7B2a%2Bb%7D++%5C++frac%7B%282a%2Bb%29%28ab%2B1%29%7D%7B%282a%2Bb%29%282a-b%29%7D+...++frac%7B%282a-b%29%28a%5E2b%29%7D%7B%282a-b%29%282a%2Bb%29%7D++%5C+frac%7B2a%5E2b%2B2a%2Bab%5E2%2Bb%7D%7B%282a%29%5E2-b%5E2%7D+...++frac%7B2a%5E3b-a%5E2b%5E2%7D%7B%282a%29%5E2-b%5E2%7D++%5C+frac%7B2a%5E2b%2B2a%2Bab%5E2%2Bb%7D%7B4a%5E2-b%5E2%7D+...++frac%7B2a%5E3b-a%5E2b%5E2%7D%7B4a%5E2-b%5E2%7D++%5C+)
3.
4 1/3а²b⁻³*(3/13a⁻²b⁴)=13/3а²b⁻³*3/13a⁻²b⁴=а²b⁻³a⁻²b⁴=a°b¹=1*b=b
4.
![frac{2x-y}{x+y} : frac{2x-y}{x-y} *frac{x+y}{x-y} = frac{2x-y}{x+y} * frac{x-y}{2x-y} *frac{x+y}{x-y} = \ \ = frac{1}{x+y} * frac{x-y}{1} *frac{x+y}{x-y} = frac{1}{1} * frac{x-y}{1} *frac{1}{x-y} = frac{1}{1} * frac{1}{1} *frac{1}{1} = 1 frac{2x-y}{x+y} : frac{2x-y}{x-y} *frac{x+y}{x-y} = frac{2x-y}{x+y} * frac{x-y}{2x-y} *frac{x+y}{x-y} = \ \ = frac{1}{x+y} * frac{x-y}{1} *frac{x+y}{x-y} = frac{1}{1} * frac{x-y}{1} *frac{1}{x-y} = frac{1}{1} * frac{1}{1} *frac{1}{1} = 1](https://tex.z-dn.net/?f=+frac%7B2x-y%7D%7Bx%2By%7D+%3A+frac%7B2x-y%7D%7Bx-y%7D+%2Afrac%7Bx%2By%7D%7Bx-y%7D+%3D+frac%7B2x-y%7D%7Bx%2By%7D+%2A+frac%7Bx-y%7D%7B2x-y%7D+%2Afrac%7Bx%2By%7D%7Bx-y%7D+%3D+%5C++%5C+%3D+frac%7B1%7D%7Bx%2By%7D+%2A+frac%7Bx-y%7D%7B1%7D+%2Afrac%7Bx%2By%7D%7Bx-y%7D+%3D++frac%7B1%7D%7B1%7D+%2A+frac%7Bx-y%7D%7B1%7D+%2Afrac%7B1%7D%7Bx-y%7D+%3D++frac%7B1%7D%7B1%7D+%2A+frac%7B1%7D%7B1%7D+%2Afrac%7B1%7D%7B1%7D+%3D+1)
при любых х и у
5.
![frac{1-2x}{3} + frac{2-3x}{4}+ frac{x}{5} = frac{1}{12} \ frac{20(1-2x)}{20*3} + frac{15(2-3x)}{15*4}+ frac{12x}{12*5} = frac{5*1}{5*12} \ frac{20-40x}{60} + frac{30-45x}{60}+ frac{12x}{60} = frac{5}{60} \ 20-40x+30-45x+12x = 5 \ 50-73x=5 \ -73x=-45 \ frac{1-2x}{3} + frac{2-3x}{4}+ frac{x}{5} = frac{1}{12} \ frac{20(1-2x)}{20*3} + frac{15(2-3x)}{15*4}+ frac{12x}{12*5} = frac{5*1}{5*12} \ frac{20-40x}{60} + frac{30-45x}{60}+ frac{12x}{60} = frac{5}{60} \ 20-40x+30-45x+12x = 5 \ 50-73x=5 \ -73x=-45 \](https://tex.z-dn.net/?f=+frac%7B1-2x%7D%7B3%7D+%2B+frac%7B2-3x%7D%7B4%7D%2B+frac%7Bx%7D%7B5%7D+%3D+frac%7B1%7D%7B12%7D+%5C+frac%7B20%281-2x%29%7D%7B20%2A3%7D+%2B+frac%7B15%282-3x%29%7D%7B15%2A4%7D%2B+frac%7B12x%7D%7B12%2A5%7D+%3D+frac%7B5%2A1%7D%7B5%2A12%7D+%5C+frac%7B20-40x%7D%7B60%7D+%2B+frac%7B30-45x%7D%7B60%7D%2B+frac%7B12x%7D%7B60%7D+%3D+frac%7B5%7D%7B60%7D+%5C+20-40x%2B30-45x%2B12x+%3D+5+%5C+50-73x%3D5+%5C+-73x%3D-45+%5C+)
x=45/73
3.
4 1/3а²b⁻³*(3/13a⁻²b⁴)=13/3а²b⁻³*3/13a⁻²b⁴=а²b⁻³a⁻²b⁴=a°b¹=1*b=b
4.
при любых х и у
5.
x=45/73
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