Joseph wants to mulch his garden. His garden is x2 + 18x + 81 ft2. One bag of mulch covers x2 - 81 ft2. Divide the expressions and simplify to find how many bags of mulch Joseph needs to mulch his garden.

GAMEMASTERX40  Oct 2, 2018
edited by GAMEMASTERX40  Oct 2, 2018

If you read CPhill's solution to the previous problem, it will make it easier to understand.


Again, factor the numerator and the denominator! This a key factor for solving these types of problems!


For the numerator, we have \(x^2+18x+81\), and that changes into \(\left(x+9\right)^2\) after factoring.


Now, for the denominator, we have \(\:x^2-81\), and that changes into \(\left(x+9\right)\left(x-9\right)\) after factoring.


So, we have \(\frac{\left(x+9\right)^2}{\left(x+9\right)\left(x-9\right)}\) and that yields our final answer as \(\boxed{\frac{x+9}{x-9}}\).


tertre  Oct 2, 2018

Nice explanation, tertre...!!!



cool cool cool

CPhill  Oct 2, 2018

Thanks, CPhill! 

tertre  Oct 2, 2018

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