Question

simplificati fractia x la 2-49totul supra 2xla 2-15x+7​

Answer 1

$\frac{ {x}^{2} - 49 }{2 {x}^{2} - 15x + 7} =$

$= \frac{(x - 7)( x + 7)}{2x^{2} - x - 14x + 7 } =$

$= \frac{(x - 7)(x + 7)}{x(2x - 1) - 7(2x - 1)} =$

$= \frac{(x - 7)( x + 7)}{(2x - 1)(x - 7)} =$

$= \frac{x + 7}{2x - 1}$

Answer 2

Răspuns:

(x² - 49) / (2x² - 15x + 7 ) =

[(x + 7)(x - 7)] / [((2x - 1)(x - 7)] =

(x + 7) / (2x - 1)

(x - 7 ) se simplifica

Explicație pas cu pas:

x² - 49 =

x² - 7² =

(x + 7)(x - 7)

2x² - 15x + 7 =

2x² - x - 14x + 7 =

(2x²- x) - (14x - 7) =

x(2x - 1) - 7(2x - 1) =  

(2x - 1)(x - 7)

a² - b² = (a + b)(a - b)