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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
 #1
avatar+3189 
+4

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 \(\boxed{\frac{x+9}{x-9}}\).

smileysmiley

tertre  Oct 2, 2018
 #2
avatar+90023 
+3

Nice explanation, tertre...!!!

 

 

cool cool cool

CPhill  Oct 2, 2018
 #3
avatar+3189 
+4

Thanks, CPhill! 

tertre  Oct 2, 2018

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