SOLUTION: Simplify: 2y^3-6y^2-8y/4y^3-8y^2-32y Step by step, how do I simplify this. Thanks!

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Simplify: 2y^3-6y^2-8y/4y^3-8y^2-32y Step by step, how do I simplify this. Thanks!      Log On


   

Question 171465: Simplify:
2y^3-6y^2-8y/4y^3-8y^2-32y
Step by step, how do I simplify this. Thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282y%5E3-6y%5E2-8y%29%2F%284y%5E3-8y%5E2-32y%29 Start with the given expression.


%282%2Ay%2A%28y%2B1%29%2A%28y-4%29%29%2F%284y%5E3-8y%5E2-32y%29 Factor 2y%5E3-6y%5E2-8y to get 2%2Ay%2A%28y%2B1%29%2A%28y-4%29.


%282%2Ay%2A%28y%2B1%29%2A%28y-4%29%29%2F%282%2A2%2Ay%2A%28y%2B2%29%2A%28y-4%29%29 Factor 4y%5E3-8y%5E2-32y to get 2%2A2%2Ay%2A%28y%2B2%29%2A%28y-4%29.


Highlight the common terms.


Cancel out the common terms.


%28y%2B1%29%2F%282%28y%2B2%29%29 Simplify.


%28y%2B1%29%2F%282y%2B4%29 Distribute


So %282y%5E3-6y%5E2-8y%29%2F%284y%5E3-8y%5E2-32y%29 simplifies to %28y%2B1%29%2F%282y%2B4%29.