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zvonat [6]
3 years ago
10

Find the difference. (9/x^2-9x)-(6/x^2-81)

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

The difference is  $\frac{3 x+81}{x(x-9)(x+9)}$

Explanation:

The expression is $\left(\frac{9}{x^{2}-9 x}\right)-\left(\frac{6}{x^{2}-81}\right)$

Removing the parenthesis, we have,

$\left\frac{9}{x^{2}-9 x}\right-\left\frac{6}{x^{2}-81}\right$

Factoring the terms $x^{2}-9 x$ and $x^{2}-81$, we get,

$\frac{9}{x(x-9)}-\frac{6}{(x+9)(x-9)}$

Taking LCM, we get,

$\frac{9(x+9)-6x}{x(x-9)(x+9)}}$

Simplifying the numerator, we get,

$\frac{9x+81-6x}{x(x-9)(x+9)}}$

Subtracting the numerator, we have,

$\frac{3 x+81}{x(x-9)(x+9)}$

Hence, the difference is $\frac{3 x+81}{x(x-9)(x+9)}$

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8 0
2 years ago
What is the result of adding -3x2 - 5x + 1 and 8x2 - 2x - 9
Fudgin [204]

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6 0
3 years ago
D) What is the measure of ∠H? Explain. (1 point)<br><br>  
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7 0
3 years ago
It will cost $73 perhour to rent a sailboat and $88 to rent a ski boat.how much more will it cost to rent a ski boat than a sail
seraphim [82]
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====
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4 0
3 years ago
Simon is considering buying a home priced at $104,000. If the current market
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Answer:

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I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

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