Răspuns :
[tex] \frac{ {x}^{2} - 49 }{2 {x}^{2} - 15x + 7} = [/tex]
[tex] = \frac{(x - 7)( x + 7)}{2x^{2} - x - 14x + 7 } = [/tex]
[tex] = \frac{(x - 7)(x + 7)}{x(2x - 1) - 7(2x - 1)} = [/tex]
[tex] = \frac{(x - 7)( x + 7)}{(2x - 1)(x - 7)} = [/tex]
[tex] = \frac{x + 7}{2x - 1} [/tex]
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)