annienixon510p5suje annienixon510p5suje
  • 09-08-2018
  • Mathematics
contestada

3x - 6 / x-2 simplify the rational expression

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jdoe0001 jdoe0001
  • 09-08-2018

[tex] \bf \cfrac{3x-6}{x-2}\implies \cfrac{3(\underline{x-2})}{\underline{x-2}}\implies 3 [/tex]

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midknight9
midknight9 midknight9
  • 09-08-2018

So we have the equation:

[tex] \frac{3x-6}{x-2} [/tex]

Then we can talk out a common factor of 3 in the numerator:

[tex] \frac{3(x-2)}{x-2} [/tex]

Since we have the term (x - 2) in both the numerator and the denominator (and in the numerator this term is being multiplied), we are able to cancel out these terms.

Therefore, the final answer is 3.

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