SOLUTION: I have no idea how to do this problem type! Simplify. (Factor first) 1. 3y^2-3y/y-1 2. a^2-a-12/a^2-4a * 2a^2/a^2+2a-3

Algebra ->  Functions -> SOLUTION: I have no idea how to do this problem type! Simplify. (Factor first) 1. 3y^2-3y/y-1 2. a^2-a-12/a^2-4a * 2a^2/a^2+2a-3      Log On


   

Question 38141: I have no idea how to do this problem type!
Simplify. (Factor first)
1. 3y^2-3y/y-1
2. a^2-a-12/a^2-4a * 2a^2/a^2+2a-3
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
Please only put one question in each submission, thanks!
I will answer your first question.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %283y%5E2-3y%29%2F%28y-1%29 simplifies to 3%2Ay
  • Text form: (3y^2-3y)/(y-1) simplifies to 3*y
  • Cartoon (animation) form: simplify_cartoon%28+%283y%5E2-3y%29%2F%28y-1%29+%29
    For tutors: simplify_cartoon( (3y^2-3y)/(y-1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%283%2Ay%5E2-3%2Ay%29+%29%2Fhighlight_red%28+%28y-1%29+%29.
Canceled out common factors (y-(1))
Look at highlight_red%28+%28highlight_red%28+3%2Ay+%29%29%2F%281%29+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29,highlight_red%28+y+%29
It becomes highlight_green%28+3+%29%2Ahighlight_green%28+y+%29%2F%281%29.
Look at highlight_red%28+3%2Ay%2F%28highlight_red%28+1+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes 3%2Ay%2Fhighlight_green%28+1+%29.
Look at 3%2Ay%2Fhighlight_red%28+1+%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 3%2Ay.
Result: 3%2Ay

Universal Simplifier and Solver


Done!


Hope this helps and feel free to contact me with further questions,
lyra