Question

7. Скоротіть дріб
………

Answer 1

$\frac{ {x}^{2} - 14x + 45 }{ {x}^{2} - 3x - 10}$

${x}^{2} - 5x - 9x + 45$

$( {x}^{2} - 5x) + ( - 9x + 45)$

$x(x - 5) - 9(x + 45)$

$\frac{(x - 5)(x - 9)}{ {x}^{2} - 3x - 10 }$

${x}^{2} + 2x - 5x - 10$

$( {x}^{2} + 2x) + ( - 5x - 10)$

$x(x + 2) - 5(x + 2)$

$\frac{(x - 5)(x - 9)}{(x + 2)(x - 5)}$

$\frac{x - 9}{x + 2}$