SOLUTION: please help. division of rational expressions. 6s^2+st-2t^2 / 6s^2-5st+t^2 divided by. 3s^2+17st+10t^2/6s^2+13st-5t^2 i hope that makes sense. i pretty much understand the concept

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Question 203584This question is from textbook intermediate algebra
: please help. division of rational expressions. 6s^2+st-2t^2 / 6s^2-5st+t^2 divided by. 3s^2+17st+10t^2/6s^2+13st-5t^2 i hope that makes sense. i pretty much understand the concept and how i have to first factor out the expressions and than divide the first expression by the reciprocal of the second expression but im getting a different answer from the correct answer This question is from textbook intermediate algebra

Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
[(3s + 2t)(2s - t) / (3s - t)(2s - t)] / [(3s + 2t)(s + 5t) / (3s - t)(2s + 5t)]

[(3s + 2t) / (3s - t)] * [(3s - t)(2s + 5t) / (3s + 2t)(s + 5t)]

(2s + 5t) / (s + 5t)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Multiply the first fraction by the reciprocal of the second fraction .


Factor to get .


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words,

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