Question

сррчноооо!!!!!оцшововоаатСРОЧНО

Answer 1

$1)\frac{ {x}^{2} - x - 6}{x - 3} = \frac{ {x}^{2} + 2x - 3x - 6 }{x - 3} = \frac{x(x + 2) - 3(x + 2)}{x - 3} = \frac{(x + 2)(x - 3)}{x - 3} = x + 2$

$2)\frac{2x + 10}{ {x}^{2} + x - 20 } = \frac{2(x + 5)}{ {x}^{2} +5x - 4x - 20 } = \frac{2(x + 5)}{ x(x + 5) - 4(x + 5)} = \frac{2(x + 5)}{(x + 5)(x - 4)} = \frac{2}{x - 4}$

$3) \frac{2 {x}^{2} + 9x - 18 }{4 {x}^{2} - 9} = \frac{2 {x}^{2} - 3x + 12x - 18}{(2x + 3)(2x - 3)} = \frac{x(2x - 3) + 6(2x - 3)}{(2x + 3)(2x - 3)} = \frac{(2x - 3)(x + 6)}{(2x + 3)(2x - 3)} = \frac{x + 6}{2x + 3}$