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а)
![frac{ {a}^{2} - {b}^{2} }{5 {a}^{2} } times frac{a}{3a + 3b} = frac{(a - b)(a + b)}{5a} times frac{1}{3(a + b)} = frac{(a - b)}{5a} times frac{1}{3} = frac{a - b}{15a} frac{ {a}^{2} - {b}^{2} }{5 {a}^{2} } times frac{a}{3a + 3b} = frac{(a - b)(a + b)}{5a} times frac{1}{3(a + b)} = frac{(a - b)}{5a} times frac{1}{3} = frac{a - b}{15a}](https://tex.z-dn.net/?f=+frac%7B+%7Ba%7D%5E%7B2%7D+-+%7Bb%7D%5E%7B2%7D+%7D%7B5+%7Ba%7D%5E%7B2%7D+%7D+times+frac%7Ba%7D%7B3a+%2B+3b%7D+%3D+frac%7B%28a+-+b%29%28a+%2B+b%29%7D%7B5a%7D+times+frac%7B1%7D%7B3%28a+%2B+b%29%7D+%3D+frac%7B%28a+-+b%29%7D%7B5a%7D+times+frac%7B1%7D%7B3%7D+%3D+frac%7Ba+-+b%7D%7B15a%7D+)
б)
![frac{x + a}{a} div frac{ax + {x}^{2} }{ {a}^{2} } = frac{x + a}{a} times frac{ {a}^{2} }{ax + {x}^{2} } = (x + a) times frac{a}{x(a + x)} = frac{a}{x} frac{x + a}{a} div frac{ax + {x}^{2} }{ {a}^{2} } = frac{x + a}{a} times frac{ {a}^{2} }{ax + {x}^{2} } = (x + a) times frac{a}{x(a + x)} = frac{a}{x}](https://tex.z-dn.net/?f=+frac%7Bx+%2B+a%7D%7Ba%7D+div+frac%7Bax+%2B+%7Bx%7D%5E%7B2%7D+%7D%7B+%7Ba%7D%5E%7B2%7D+%7D+%3D+frac%7Bx+%2B+a%7D%7Ba%7D+times+frac%7B+%7Ba%7D%5E%7B2%7D+%7D%7Bax+%2B+%7Bx%7D%5E%7B2%7D+%7D+%3D+%28x+%2B+a%29+times+frac%7Ba%7D%7Bx%28a+%2B+x%29%7D+%3D+frac%7Ba%7D%7Bx%7D+)
в)
б)
в)
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