Question

5 Скоротіть дрiб:
54-2x³
2x-6
.

Answer 1

Ответ:

$\frac{54 - 2 {x}^{3} }{2x - 6} = \frac{2(27 - {x}^{3} )}{2(x - 3)} = \frac{27 - {x}^{3} }{x - 3} = \frac{(3 - x)( 9 + 3x + {x}^{2}) }{(x - 3)} = \frac{ - (x - 3)(9 + 3x + {x}^{2} )}{(x - 3)} = - (9 + 3x + {x}^{2} ) = - 9 - 3x - {x}^{2} = - {x}^{2} - 3x - 9$

Answer 2

Объяснение:

(54 - 2х³)/(2х - 6) = 2(27 - х³)/2(х - 3) =

(3 - х)*(9 + 3х + х²)/(х - 3) =

-(х - 3)*(9 + 3х + х²)/(х - 3) =

-1 * (9 + 3х + х²) = -(9 + 3х + х²) =

-9 - 3х - х² = -х² - 3х - 9