Simplify the Expression $\frac{(1)\left(x^{2}-8\right)^{1 / 2}-x\left[\frac{1}{3}\right]\left(x^{2}-8\right)^{-1 / 2}(3 x)}{\left[\left(x^{2}-8\right)^{1 / 2}\right]^{2}}$

question 145

Multiple Choice

Simplify the expression. Do not rationalize the denominator.
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$\frac{(1) \left(x^{2}-8\right) ^{1 / 2}-x\left[\frac{1}{3}\right]\left(x^{2}-8\right) ^{-1 / 2}(3 x) }{\left[\left(x^{2}-8\right) ^{1 / 2}\right]^{2}}$

• A) \(\frac { 1 - x ^ { 2 } } { \left( x ^ { 2 } - 8 \right) ^ { 5 / 2 } }\)
• B) \(\frac { 1 - x ^ { 2 } } { \left( x ^ { 2 } - 8 \right) ^ { 3 / 2 } }\)
• C) \(- \frac { 8 } { \left( x ^ { 2 } - 8 \right) ^ { 5 / 2 } }\)
• D) \(- \frac { 8 } { \left( x ^ { 2 } - 8 \right) ^ { 3 / 2 } }\)

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