SOLUTION: I am having trouble with a question, My question is multiply, r^2+7r+10 3r-30 ----------- by ---------- 3 r^2-5r-50 I think the answer is 3r+6

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Question 6288: I am having trouble with a question, My question is multiply,
r^2+7r+10 3r-30
------------ by ----------
3 r^2-5r-50
I think the answer is
3r+6
--------
2
Am I right, Can someone let me know?
Answer by ichudov(507)   (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
  • Text form: ((r^2+7r+10)/3)*((3r-30)/(r^2-5r-50)) simplifies to r+2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((r^2+7r+10)/3)*((3r-30)/(r^2-5r-50)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+%28r%5E2%2B7%2Ar%2B10%29+%29,highlight_red%28+1%2F3+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+%283%2Ar-30%29+%29,highlight_red%28+1%2F%28r%5E2-5%2Ar-50%29+%29
It becomes .
Look at .
Canceled out common factors (r-(-5))
Look at .
Canceled out common factors (r-(10))
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes .
Look at .
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .
Look at .
Multiplied denominator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+1%2F1+%29 to
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+r+%29,highlight_red%28+2+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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