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1)
![frac{4 {c}^{2} - 25 {x}^{2} }{4 {c}^{2} + 20cx + 25 {x}^{2} } = frac{(2c - 5x)(2c + 5x)}{ {(2c + 5x)}^{2} } = frac{2c - 5x}{2c + 5x} frac{4 {c}^{2} - 25 {x}^{2} }{4 {c}^{2} + 20cx + 25 {x}^{2} } = frac{(2c - 5x)(2c + 5x)}{ {(2c + 5x)}^{2} } = frac{2c - 5x}{2c + 5x}](https://tex.z-dn.net/?f=+frac%7B4+%7Bc%7D%5E%7B2%7D+-+25+%7Bx%7D%5E%7B2%7D++%7D%7B4+%7Bc%7D%5E%7B2%7D+%2B+20cx+%2B+25+%7Bx%7D%5E%7B2%7D++%7D++%3D++frac%7B%282c+-+5x%29%282c+%2B+5x%29%7D%7B+%7B%282c+%2B+5x%29%7D%5E%7B2%7D+%7D++%3D++frac%7B2c+-+5x%7D%7B2c+%2B+5x%7D+)
2)
![frac{6ab - 9 {b}^{2} }{4 {a}^{2} - 9 {b}^{2} } = frac{3b(2a - 3b)}{(2a - 3b)(2a + 3b)} = frac{3b}{2a + 3b} frac{6ab - 9 {b}^{2} }{4 {a}^{2} - 9 {b}^{2} } = frac{3b(2a - 3b)}{(2a - 3b)(2a + 3b)} = frac{3b}{2a + 3b}](https://tex.z-dn.net/?f=+frac%7B6ab+-+9+%7Bb%7D%5E%7B2%7D+%7D%7B4+%7Ba%7D%5E%7B2%7D++-+9+%7Bb%7D%5E%7B2%7D+%7D++%3D++frac%7B3b%282a+-+3b%29%7D%7B%282a+-+3b%29%282a+%2B+3b%29%7D++%3D++frac%7B3b%7D%7B2a+%2B+3b%7D+)
3)
![frac{ 2{x}^{3} y - 8x {y}^{3} }{2 x{y}^{2} - {x}^{2}y } = frac{2xy( {x}^{2} - 4 {y}^{2} )}{xy(2y - x)} = frac{2xy(x - 2y)(x + 2y)}{ - xy(x - 2y)} = - 2(x + 2y) = - 2x - 4y frac{ 2{x}^{3} y - 8x {y}^{3} }{2 x{y}^{2} - {x}^{2}y } = frac{2xy( {x}^{2} - 4 {y}^{2} )}{xy(2y - x)} = frac{2xy(x - 2y)(x + 2y)}{ - xy(x - 2y)} = - 2(x + 2y) = - 2x - 4y](https://tex.z-dn.net/?f=+frac%7B+2%7Bx%7D%5E%7B3%7D+y+-+8x+%7By%7D%5E%7B3%7D+%7D%7B2+x%7By%7D%5E%7B2%7D+-++%7Bx%7D%5E%7B2%7Dy++%7D++%3D++frac%7B2xy%28+%7Bx%7D%5E%7B2%7D+-+4+%7By%7D%5E%7B2%7D++%29%7D%7Bxy%282y+-+x%29%7D++%3D++frac%7B2xy%28x+-+2y%29%28x+%2B+2y%29%7D%7B+-+xy%28x+-+2y%29%7D++%3D++-+2%28x+%2B+2y%29+%3D++-+2x+-+4y)
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Спасибо огромное!! Вы лучший)
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