harbel2009 harbel2009
  • 11-02-2024
  • Mathematics
contestada

simplify x^2-9/x^2-3x

Respuesta :

Dlexo
Dlexo Dlexo
  • 11-02-2024

Answer:

Step-by-step explanation:

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dashataran
dashataran dashataran
  • 11-02-2024

Answer:

[tex]\dfrac{x+3}{x}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2-9}{x^2-3x}\\\\=\dfrac{x^2-3^2}{x(x-3)}\\\\\text{Apply }a^2-b^2=(a-b)(a+b)\text{ formula on the numerator:}\\\\\dfrac{(x-3)(x+3)}{x(x-3)}\\\\\text{Cancel }(x-3)\text{ from numerator and denominator:}[/tex]

[tex]\dfrac{x+3}{x}\\\\\therefore\ \dfrac{x^2-9}{x^2-3x}=\dfrac{x+3}{x}[/tex]

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