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3 years ago

NEED ASAP QUICKLY PLEASE

Mathematics

2 answers:

Serga [27]3 years ago

8 0

The answer would be 8√15

musickatia [10]3 years ago

6 0

Yes. The answer is
$8 \sqrt{15}$
multiply the like terms

2×4 is 8
$\sqrt{3} \times \sqrt{5} = \sqrt{15}$
which can't be reduced any further ....("In case you need to solve another like it during the assessment.")

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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,

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

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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