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1)
![frac{5 {x}^{2} }{x + 5} - frac{6 {x}^{2} - 3x - 30}{ x + 5} - frac{5 - 2 {x}^{2} - 7x}{x + 5} = frac{5 {x}^{2} - (6 {x}^{2} - 3x - 30) - (5 - 2 {x}^{2} - 7x)}{x + 5} = frac{5 {x}^{2} - 6 {x}^{2} + 3x + 30 - 5 + 2 {x}^{2} + 7x }{x + 5} = frac{ {x}^{2} + 10x + 25}{x + 5} = frac{ {(x + 5)}^{2} }{x + 5} = x + 5 frac{5 {x}^{2} }{x + 5} - frac{6 {x}^{2} - 3x - 30}{ x + 5} - frac{5 - 2 {x}^{2} - 7x}{x + 5} = frac{5 {x}^{2} - (6 {x}^{2} - 3x - 30) - (5 - 2 {x}^{2} - 7x)}{x + 5} = frac{5 {x}^{2} - 6 {x}^{2} + 3x + 30 - 5 + 2 {x}^{2} + 7x }{x + 5} = frac{ {x}^{2} + 10x + 25}{x + 5} = frac{ {(x + 5)}^{2} }{x + 5} = x + 5](https://tex.z-dn.net/?f=+frac%7B5+%7Bx%7D%5E%7B2%7D+%7D%7Bx+%2B+5%7D++-++frac%7B6+%7Bx%7D%5E%7B2%7D++-+3x+-+30%7D%7B++x+%2B+5%7D++-++frac%7B5+-+2+%7Bx%7D%5E%7B2%7D++-+7x%7D%7Bx+%2B+5%7D++%3D++frac%7B5+%7Bx%7D%5E%7B2%7D++-+%286+%7Bx%7D%5E%7B2%7D++-+3x+-+30%29+-+%285+-+2+%7Bx%7D%5E%7B2%7D++-+7x%29%7D%7Bx+%2B+5%7D++%3D++frac%7B5+%7Bx%7D%5E%7B2%7D+-+6+%7Bx%7D%5E%7B2%7D++%2B+3x+%2B+30+-+5+%2B+2+%7Bx%7D%5E%7B2%7D+%2B+7x++%7D%7Bx+%2B+5%7D++%3D++frac%7B+%7Bx%7D%5E%7B2%7D++%2B+10x+%2B+25%7D%7Bx+%2B+5%7D++%3D++frac%7B+%7B%28x+%2B+5%29%7D%5E%7B2%7D+%7D%7Bx+%2B+5%7D++%3D+x+%2B+5)
2)
![frac{7 {x}^{2} - 4x }{2x - 5} - frac{ {x}^{2} + 3x + 30}{2x - 5} - frac{2 {x}^{2} - 7x - 5 }{2x - 5} = frac{7 {x}^{2} - 4x - ( {x}^{2} + 3x + 30) - (2 {x}^{2} - 7x - 5) }{2x - 5} = frac{7 {x}^{2} - 4x - {x}^{2} - 3x - 30 - 2 {x}^{2} + 7x + 5 }{2x - 5} = frac{4 {x}^{2} - 25 }{2x - 5} = frac{(2x - 5)(2x + 5)}{2x - 5} = 2x + 5 frac{7 {x}^{2} - 4x }{2x - 5} - frac{ {x}^{2} + 3x + 30}{2x - 5} - frac{2 {x}^{2} - 7x - 5 }{2x - 5} = frac{7 {x}^{2} - 4x - ( {x}^{2} + 3x + 30) - (2 {x}^{2} - 7x - 5) }{2x - 5} = frac{7 {x}^{2} - 4x - {x}^{2} - 3x - 30 - 2 {x}^{2} + 7x + 5 }{2x - 5} = frac{4 {x}^{2} - 25 }{2x - 5} = frac{(2x - 5)(2x + 5)}{2x - 5} = 2x + 5](https://tex.z-dn.net/?f=+frac%7B7+%7Bx%7D%5E%7B2%7D+-+4x+%7D%7B2x+-+5%7D+-++frac%7B+%7Bx%7D%5E%7B2%7D++%2B+3x+%2B+30%7D%7B2x+-+5%7D+++-++frac%7B2+%7Bx%7D%5E%7B2%7D+-+7x+-+5+%7D%7B2x+-+5%7D++%3D++frac%7B7+%7Bx%7D%5E%7B2%7D+-+4x+-+%28+%7Bx%7D%5E%7B2%7D+++%2B+3x+%2B+30%29+-+%282+%7Bx%7D%5E%7B2%7D+-+7x+-+5%29+%7D%7B2x+-+5%7D++%3D++frac%7B7+%7Bx%7D%5E%7B2%7D+-+4x+-++%7Bx%7D%5E%7B2%7D+++-+3x+-+30+-+2+%7Bx%7D%5E%7B2%7D+%2B+7x+%2B+5+%7D%7B2x+-+5%7D++%3D++frac%7B4+%7Bx%7D%5E%7B2%7D+-+25+%7D%7B2x+-+5%7D++%3D++frac%7B%282x+-+5%29%282x+%2B+5%29%7D%7B2x+-+5%7D++%3D+2x+%2B+5)
2)
Ответ дал:
0
1.
(при х≠-5)
2.
(при х≠2,5)
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