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Write the Expression with Only Positive Exponents and Evaluate If 1h(1(x+h)2+21x2+2)\frac { 1 } { h } \left( \frac { 1 } { ( x + h ) ^ { 2 } + 2 } - \frac { 1 } { x ^ { 2 } + 2 } \right)

Question 436

Multiple Choice

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
- 1h(1(x+h) 2+21x2+2) \frac { 1 } { h } \left( \frac { 1 } { ( x + h ) ^ { 2 } + 2 } - \frac { 1 } { x ^ { 2 } + 2 } \right)


A) 2x((x+h) 2+2) \frac { 2 x } { \left( ( x + h ) ^ { 2 } + 2 \right) }
B) 2xh((x+h) 2+2) (x2+2) \frac { - 2 x - h } { \left( ( x + h ) ^ { 2 } + 2 \right) \left( x ^ { 2 } + 2 \right) }
C) 2x+h((x+h) 2+2) (x2+2) \frac { 2 x + h } { \left( ( x + h ) ^ { 2 } + 2 \right) \left( x ^ { 2 } + 2 \right) }
D) 2x+h(x+h) 2(x2+2) \frac { - 2 x + h } { ( x + h ) ^ { 2 } \left( x ^ { 2 } + 2 \right) }

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