SOLUTION: Simplify the rational expression {{{(3x^2-27)/(18-6x)}}}

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Question 172369: Simplify the rational expression

Answer by bob123132(33)   (Show Source): You can put this solution on YOUR website!
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (3x^2-27)/(18-6x) simplifies to -x/2-3/2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3x^2-27)/(18-6x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved 18 to the right of expression
It becomes .

Look at .
Canceled out common factors (x-(3))

Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F6+%29
It becomes .

Look at .
Expanded term -1%2F6 by using associative property on %283%2Ax%2B9%29
It becomes .

Look at .
Factors 3 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Factors 9 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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