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# Joseph wants to mulch his garden.

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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.

Oct 2, 2018
edited by GAMEMASTERX40  Oct 2, 2018

#1
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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 $$\boxed{\frac{x+9}{x-9}}$$.  Oct 2, 2018
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Nice explanation, tertre...!!!   CPhill  Oct 2, 2018
#3
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Thanks, CPhill!

tertre  Oct 2, 2018