Question

Скоротіть дріб:
1)(24c^9*y^3)/(8c^7*y^4)
2)(4c^2-cm)/(7c+3c^2)
3) (6x-5)/(10-12x)
4)(y^2-64)/(3y-24)
​

Answer 1

Ответ:

1)

$\frac{24c {}^{9}y {}^{3} }{8c {}^{7}y {}^{4} } = \frac{3c {}^{2} }{y}$

2)

$\frac{4c {}^{2} - cm }{7c + 3c {}^{2} } = \frac{c(4c - m)}{c(7 + 3c)} = \frac{4c - m}{7 + 3c}$

3)

$\frac{6x - 5}{10 - 12x} = - \frac{6x - 5}{12x - 10} = \\ = - \frac{6x - 5}{2(6x - 5)} = - \frac{1}{2}$

4)

$\frac{y {}^{2} - 64 }{3y - 24} = \frac{y {}^{2} - 8 {}^{2} }{ 3y - 24 } = \\ = \frac{y {}^{2} - 8 {}^{2} }{3(y - 8)} = \\ = \frac{(y - 8)(y + 8)}{3(y - 8)} = \\ = \frac{y + 8}{3}$