$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 8 } { x ^ { 2 } }$

A) $\frac { - 8 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }$
B) $\frac { 8 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }$
C) $\frac { 8 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }$
D) $\frac { - 8 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }$

Correct Answer:

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