jeffeom
jeffeom jeffeom
  • 01-09-2017
  • Mathematics
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How do you simplify this?

How do you simplify this class=

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WojtekR
WojtekR WojtekR
  • 01-09-2017
[tex]\dfrac{2x^3-2x^2-12x}{3x^2-6x}=\dfrac{2x\big(x^2-x-6\big)}{3x\big(x-2\big)}= \dfrac{2\big(x^2-x-6\big)}{3\big(x-2\big)}=\\\\\\=\dfrac{2\big(x^2-3x+2x-6\big)}{3\big(x-2\big)}=\dfrac{2\Big[x\big(x-3\big)+2\big(x-3\big)\Big]}{3\big(x-2\big)}= \dfrac{2\big(x-3\big)\big(x+2\big)}{3\big(x-2\big)}[/tex]
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