SOLUTION: Whis is the result of dividing 48a^3+32a^2+16a by 4a?

Algebra ->  Expressions-with-variables -> SOLUTION: Whis is the result of dividing 48a^3+32a^2+16a by 4a?      Log On


   

Question 174838: Whis is the result of dividing 48a^3+32a^2+16a by 4a?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2848a%5E3%2B32a%5E2%2B16a%29%2F%284a%29 Start with the given expression.


%2816a%283a%5E2%2B2a%2B1%29%29%2F%284a%29 Factor out the GCF 16a from the numerator


%284%2A4a%283a%5E2%2B2a%2B1%29%29%2F%284a%29 Factor 16 into 4%2A4


%284%2Ahighlight%284a%29%283a%5E2%2B2a%2B1%29%29%2F%28highlight%284a%29%29 Highlight the common terms.


%284%2Across%284a%29%283a%5E2%2B2a%2B1%29%29%2F%28cross%284a%29%29 Cancel out the common terms.


4%283a%5E2%2B2a%2B1%29 Simplify


12a%5E2%2B8a%2B4 Distribute


So %2848a%5E3%2B32a%5E2%2B16a%29%2F%284a%29 simplifies to 12a%5E2%2B8a%2B4


In other words, %2848a%5E3%2B32a%5E2%2B16a%29%2F%284a%29=12a%5E2%2B8a%2B4 where a%3C%3E0