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0
1-a)
![frac{60 {x}^{3} }{100 {x}^{4} } = frac{3}{5x} frac{60 {x}^{3} }{100 {x}^{4} } = frac{3}{5x}](https://tex.z-dn.net/?f=+frac%7B60+%7Bx%7D%5E%7B3%7D+%7D%7B100+%7Bx%7D%5E%7B4%7D+%7D++%3D++frac%7B3%7D%7B5x%7D+)
b)
![(2x - 6) times frac{ {x}^{2} }{x - 3} = frac{ {x}^{2}(2x - 6) }{x - 3} = frac{2 {x}^{3} - 6 {x}^{2} }{x - 3} = frac{2 {x}^{2}(x - 3) }{x - 3} = 2 {x}^{2} (2x - 6) times frac{ {x}^{2} }{x - 3} = frac{ {x}^{2}(2x - 6) }{x - 3} = frac{2 {x}^{3} - 6 {x}^{2} }{x - 3} = frac{2 {x}^{2}(x - 3) }{x - 3} = 2 {x}^{2}](https://tex.z-dn.net/?f=%282x+-+6%29+times++frac%7B+%7Bx%7D%5E%7B2%7D+%7D%7Bx+-+3%7D++%3D++frac%7B+%7Bx%7D%5E%7B2%7D%282x+-+6%29+%7D%7Bx+-+3%7D++%3D++frac%7B2+%7Bx%7D%5E%7B3%7D+-+6+%7Bx%7D%5E%7B2%7D++%7D%7Bx+-+3%7D++%3D++frac%7B2+%7Bx%7D%5E%7B2%7D%28x+-+3%29+%7D%7Bx+-+3%7D++%3D+2+%7Bx%7D%5E%7B2%7D+)
в)
![{ ( -frac{3a}{ {b}^{2} } })^{2} = frac{9 {a}^{2} }{ {b}^{4} } { ( -frac{3a}{ {b}^{2} } })^{2} = frac{9 {a}^{2} }{ {b}^{4} }](https://tex.z-dn.net/?f=+%7B++%28+-frac%7B3a%7D%7B+%7Bb%7D%5E%7B2%7D+%7D+%7D%29%5E%7B2%7D++%3D++frac%7B9+%7Ba%7D%5E%7B2%7D+%7D%7B+%7Bb%7D%5E%7B4%7D+%7D+)
г)
![frac{ {y}^{2} - y}{2xy} times frac{2x}{ {y}^{2} - 1 } = frac{y(y - 1) times 2 x}{2xy(y - 1)(y + 1)} = frac{1}{(y + 1)} frac{ {y}^{2} - y}{2xy} times frac{2x}{ {y}^{2} - 1 } = frac{y(y - 1) times 2 x}{2xy(y - 1)(y + 1)} = frac{1}{(y + 1)}](https://tex.z-dn.net/?f=+frac%7B+%7By%7D%5E%7B2%7D++-+y%7D%7B2xy%7D++times++frac%7B2x%7D%7B+%7By%7D%5E%7B2%7D+-+1+%7D++%3D++frac%7By%28y+-+1%29+times+2+x%7D%7B2xy%28y+-+1%29%28y+%2B+1%29%7D++%3D++frac%7B1%7D%7B%28y+%2B+1%29%7D+)
2-а
![- frac{4a}{5 {c}^{2} } times - frac{10 {c}^{4} }{a} = - frac{8 a{c}^{2} }{a} = - frac{8 {c}^{2} }{a} - frac{4a}{5 {c}^{2} } times - frac{10 {c}^{4} }{a} = - frac{8 a{c}^{2} }{a} = - frac{8 {c}^{2} }{a}](https://tex.z-dn.net/?f=+-++frac%7B4a%7D%7B5+%7Bc%7D%5E%7B2%7D+%7D+++times+++-++frac%7B10+%7Bc%7D%5E%7B4%7D+%7D%7Ba%7D++%3D++-++frac%7B8+a%7Bc%7D%5E%7B2%7D+%7D%7Ba%7D++%3D++-++frac%7B8+%7Bc%7D%5E%7B2%7D+%7D%7Ba%7D+)
б)
![frac{ {m}^{2} - 4 {n}^{2} }{ {m}^{2} } times frac{1}{4m - 8n} = frac{(m - 2n)(m + 2n)}{4 {m}^{2} (m - 2n) } = frac{m + 2n}{4 {m}^{2} } frac{ {m}^{2} - 4 {n}^{2} }{ {m}^{2} } times frac{1}{4m - 8n} = frac{(m - 2n)(m + 2n)}{4 {m}^{2} (m - 2n) } = frac{m + 2n}{4 {m}^{2} }](https://tex.z-dn.net/?f=+frac%7B+%7Bm%7D%5E%7B2%7D+-+4+%7Bn%7D%5E%7B2%7D++%7D%7B+%7Bm%7D%5E%7B2%7D+%7D++times++frac%7B1%7D%7B4m+-+8n%7D++%3D++frac%7B%28m+-+2n%29%28m+%2B+2n%29%7D%7B4+%7Bm%7D%5E%7B2%7D+%28m+-+2n%29+%7D++%3D++frac%7Bm+%2B+2n%7D%7B4+%7Bm%7D%5E%7B2%7D+%7D+)
в)
![frac{2x - 1}{ {x}^{2} - 6x + 9 } times frac{ {x}^{2} - 3x }{1 - 2x} = frac{2x + 1}{ {(x - 3)}^{2} } times frac{x(x - 3)}{1 - 2x} = frac{ x(2 x + 1)}{(x - 3)(1 - 2 x)} frac{2x - 1}{ {x}^{2} - 6x + 9 } times frac{ {x}^{2} - 3x }{1 - 2x} = frac{2x + 1}{ {(x - 3)}^{2} } times frac{x(x - 3)}{1 - 2x} = frac{ x(2 x + 1)}{(x - 3)(1 - 2 x)}](https://tex.z-dn.net/?f=+frac%7B2x+-+1%7D%7B+%7Bx%7D%5E%7B2%7D+-+6x+%2B+9+%7D++times++frac%7B+%7Bx%7D%5E%7B2%7D+-+3x+%7D%7B1+-+2x%7D++%3D++frac%7B2x+%2B+1%7D%7B+%7B%28x+-+3%29%7D%5E%7B2%7D+%7D++times++frac%7Bx%28x+-+3%29%7D%7B1+-+2x%7D++%3D++frac%7B+x%282+x+%2B+1%29%7D%7B%28x+-+3%29%281+-+2+x%29%7D)
г)
![frac{2a - 4}{ {a}^{2} + 4} div frac{ {(a - 2)}^{2} }{( {a}^{2} - 4)( {a}^{2} + 4) } = frac{2(a - 2)}{ {a}^{2} + 4} times frac{( {a}^{2} - 4)( {a}^{2} + 4) }{ {(a - 2)}^{2} } = frac{2( {a }^{2} - 4)}{a - 2} = frac{2 {a }^{2} - 8}{a - 2} frac{2a - 4}{ {a}^{2} + 4} div frac{ {(a - 2)}^{2} }{( {a}^{2} - 4)( {a}^{2} + 4) } = frac{2(a - 2)}{ {a}^{2} + 4} times frac{( {a}^{2} - 4)( {a}^{2} + 4) }{ {(a - 2)}^{2} } = frac{2( {a }^{2} - 4)}{a - 2} = frac{2 {a }^{2} - 8}{a - 2}](https://tex.z-dn.net/?f=+frac%7B2a+-+4%7D%7B+%7Ba%7D%5E%7B2%7D++%2B+4%7D+++div+frac%7B+%7B%28a+-+2%29%7D%5E%7B2%7D+%7D%7B%28+%7Ba%7D%5E%7B2%7D+++-+4%29%28++%7Ba%7D%5E%7B2%7D+%2B+4%29++%7D++%3D++frac%7B2%28a+-+2%29%7D%7B+%7Ba%7D%5E%7B2%7D++%2B+4%7D++times++frac%7B%28+%7Ba%7D%5E%7B2%7D+-+4%29%28+%7Ba%7D%5E%7B2%7D++%2B+4%29+%7D%7B+%7B%28a+-+2%29%7D%5E%7B2%7D+%7D++%3D++frac%7B2%28+%7Ba+%7D%5E%7B2%7D++-+4%29%7D%7Ba+-+2%7D++%3D++frac%7B2+%7Ba+%7D%5E%7B2%7D++-+8%7D%7Ba+-+2%7D+)
b)
в)
г)
2-а
б)
в)
г)
Ответ дал:
0
Извиняюсь, а "1 (а)" не всё ведь?
Ответ дал:
0
Почему? Я сразу умножил дроби, без вычислений
Ответ дал:
0
Тогда спасибо :)
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