alexg8289 alexg8289
  • 23-03-2022
  • Mathematics
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Rewrite as equivalent rational expressions with denominator (a−7)(a−2)(a+8):

Rewrite as equivalent rational expressions with denominator a7a2a8 class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 23-03-2022

Answer:

[tex] \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]

[tex] \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]

Step-by-step explanation:

[tex] \dfrac{3}{a^2 - 9a + 14} = [/tex]

[tex] = \dfrac{3}{(a - 7)(a - 2)} [/tex]

[tex] = \dfrac{3(a + 8)}{(a - 7)(a - 2)(a + 8)} [/tex]

[tex] \dfrac{8a}{a^2 + a - 56} = [/tex]

[tex] = \dfrac{8a}{(a + 8)(a - 7)} [/tex]

[tex] = \dfrac{8a(a - 2)}{(a - 7)(a - 2)(a + 8)} [/tex]

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