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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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      Log On


   

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) 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: %28%28r%5E2%2B7r%2B10%29%2F3%29%2A%28%283r-30%29%2F%28r%5E2-5r-50%29%29 simplifies to r%2B2
  • 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 %28r%2B2%29%2F3%2Ahighlight_red%28+%283%2Ar-30%29+%29%2Fhighlight_red%28+%28r-10%29+%29.
Canceled out common factors (r-(10))
Look at highlight_red%28+%28r%2B2%29%2F3%2A%28highlight_red%28+3+%29%29%2F%281%29+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes %28r%2B2%29%2F3%2Ahighlight_green%28+3+%29%2F%281%29.
Look at highlight_red%28+%28r%2B2%29%2F3%2A3%2F%28highlight_red%28+1+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes %28r%2B2%29%2F3%2A3%2Fhighlight_green%28+1+%29.
Look at %28r%2B2%29%2Fhighlight_red%28+3+%29%2Ahighlight_red%28+3+%29%2F1.
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes %28r%2B2%29%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29%2F1.
Look at %28r%2B2%29%2Fhighlight_red%28+1+%29%2A1%2Fhighlight_red%28+1+%29.
Multiplied denominator integers
It becomes %28r%2B2%29%2Fhighlight_green%28+1+%29%2A1.
Look at %28r%2B2%29%2Fhighlight_red%28+1+%29%2Ahighlight_red%28+1+%29.
Reduce similar several occurrences of highlight_red%28+1%2F1+%29 to
It becomes %28r%2B2%29.
Look at highlight_red%28+%28r%2B2%29+%29.
Remove unneeded parentheses around terms highlight_red%28+r+%29,highlight_red%28+2+%29
It becomes highlight_green%28+r+%29%2Bhighlight_green%28+2+%29.
Result: r%2B2

Universal Simplifier and Solver


Done!