SOLUTION: Please help me solve (divide) this equation in factored form: 8a^2-6a-9/6a^2-5a-6/4a^2+11a+6/9a^2+12a+4

Algebra ->  Equations -> SOLUTION: Please help me solve (divide) this equation in factored form: 8a^2-6a-9/6a^2-5a-6/4a^2+11a+6/9a^2+12a+4      Log On


   

Question 132392: Please help me solve (divide) this equation in factored form:
8a^2-6a-9/6a^2-5a-6/4a^2+11a+6/9a^2+12a+4
Answer by jim_thompson5910(35256) About Me  (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 8a%5E2-6a-9 to get %282a-3%29%284a%2B3%29

Factor 6a%5E2-5a-6 to get %282a-3%29%283a%2B2%29

Factor 9a%5E2%2B12a%2B4 to get %283a%2B2%29%283a%2B2%29

Factor 4a%5E2%2B11a%2B6 to get %28a%2B2%29%284a%2B3%29


Combine the fractions


Cancel like terms


%283a%2B2%29%2F%28a%2B2%29 Simplify


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Answer:

So simplifies to %283a%2B2%29%2F%28a%2B2%29. In other words