SOLUTION: 6+x-x^2 / x^2-13x+42 divided by 2x^2-5x-3 / 2x^2-13x-7

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Question 30915This question is from textbook Algebra Structure and Method Book 1
: 6+x-x^2 / x^2-13x+42 divided by 2x^2-5x-3 / 2x^2-13x-7 This question is from textbook Algebra Structure and Method Book 1

Found 2 solutions by ichudov, acerX:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to %28-x-2%29%2F%28x-6%29
  • Text form: ((6+x-x^2)/(x^2-13x+42))/((2x^2-5x-3)/(2x^2-13x-7)) simplifies to (-x-2)/(x-6)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((6+x-x^2)/(x^2-13x+42))/((2x^2-5x-3)/(2x^2-13x-7)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+%286%2Bx-x%5E2%29+%29,highlight_red%28+1%2F%28x%5E2-13%2Ax%2B42%29+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F%282%2Ax%5E2-5%2Ax-3%29+%29,highlight_red%28+%282%2Ax%5E2-13%2Ax-7%29+%29
It becomes .
Look at .
Moved 6 to the right of expression
It becomes .
Look at .
Canceled out common factors (x-(3))
Look at .
Canceled out common factors (x-(7))
Look at .
Reduce similar several occurrences of highlight_red%28+1%2F%282%2Ax%2B1%29+%29 to
It becomes %28-x-2%29%2F%28x-6%29.
Result: %28-x-2%29%2F%28x-6%29

Universal Simplifier and Solver


Done!

Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!

when we divide fractions we have to invert the second one and multiply giving us:
%28%286%2Bx-x%5E2%29%2F%28x%5E2-13x%2B42%29%29%28%282x%5E2-13x-7%29%2F%282x%5E2-5x-3%29%29 Rewrite this in order of degree of the power
now factor if possible
Cancel out all factors are the same if one is in the top and one is in the denominator, such as %282x%2B1%29%2F%282x%2B1%29
%28-x-2%29%2F%28x-6%29 Hopes this helps!