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![frac{4 {m}^{3} {n}^{5} }{8m {n}^{6} } = frac{ {m}^{2} }{2n} frac{4 {m}^{3} {n}^{5} }{8m {n}^{6} } = frac{ {m}^{2} }{2n}](https://tex.z-dn.net/?f=+frac%7B4+%7Bm%7D%5E%7B3%7D+%7Bn%7D%5E%7B5%7D++%7D%7B8m+%7Bn%7D%5E%7B6%7D++%7D++%3D++frac%7B+%7Bm%7D%5E%7B2%7D+%7D%7B2n%7D+)
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![frac{3a - 3b}{2b - 2a} = frac{3(a - b)}{ - 2(a - b)} = - frac{3}{2} = - 1.5 frac{3a - 3b}{2b - 2a} = frac{3(a - b)}{ - 2(a - b)} = - frac{3}{2} = - 1.5](https://tex.z-dn.net/?f=+frac%7B3a+-+3b%7D%7B2b+-+2a%7D++%3D++frac%7B3%28a+-+b%29%7D%7B+-+2%28a+-+b%29%7D++%3D++-++frac%7B3%7D%7B2%7D++%3D++-+1.5)
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![frac{m - 9}{3m} + frac{3m - 4}{ {m}^{2} } = frac{ m(m - 9) +3(3m - 4)}{3 {m}^{2} } = frac{ {m}^{2} - 9m + 9m - 12 }{3 {m}^{2} } = frac{ {m}^{2} - 12 }{3 {m}^{2} } frac{m - 9}{3m} + frac{3m - 4}{ {m}^{2} } = frac{ m(m - 9) +3(3m - 4)}{3 {m}^{2} } = frac{ {m}^{2} - 9m + 9m - 12 }{3 {m}^{2} } = frac{ {m}^{2} - 12 }{3 {m}^{2} }](https://tex.z-dn.net/?f=+frac%7Bm+-+9%7D%7B3m%7D++%2B++frac%7B3m+-+4%7D%7B+%7Bm%7D%5E%7B2%7D+%7D++%3D++frac%7B+m%28m+-+9%29+%2B3%283m+-+4%29%7D%7B3+%7Bm%7D%5E%7B2%7D+%7D++%3D++frac%7B+%7Bm%7D%5E%7B2%7D+-+9m+%2B+9m+-+12+%7D%7B3+%7Bm%7D%5E%7B2%7D+%7D++%3D++frac%7B+%7Bm%7D%5E%7B2%7D+-+12+%7D%7B3+%7Bm%7D%5E%7B2%7D+%7D+)
![frac{x - 3}{y - 2} times frac{4 - 2y}{ {x}^{2} - 9 } = frac{(x - 3) times - 2(y - 2)}{(y - 2) times (x - 3) times (x + 3)} = frac{ - 2}{x + 3} frac{x - 3}{y - 2} times frac{4 - 2y}{ {x}^{2} - 9 } = frac{(x - 3) times - 2(y - 2)}{(y - 2) times (x - 3) times (x + 3)} = frac{ - 2}{x + 3}](https://tex.z-dn.net/?f=+frac%7Bx+-+3%7D%7By+-+2%7D++times++frac%7B4+-+2y%7D%7B+%7Bx%7D%5E%7B2%7D+-+9+%7D++%3D++frac%7B%28x+-+3%29+times++-+2%28y+-+2%29%7D%7B%28y+-+2%29+times+%28x+-+3%29+times+%28x+%2B+3%29%7D++%3D++frac%7B+-+2%7D%7Bx+%2B+3%7D+)
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