28chen44 28chen44
  • 03-04-2022
  • Mathematics
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simplify (3a^2-6a+3)/(a^2-1) if a is not 1

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loneguy
loneguy loneguy
  • 03-04-2022

[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]

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