Simplify.
-$$\frac { x ^ { - 2 } - 3 } { 3 + x ^ { - 2 } }$$
A) $\frac { 1 - 3 x ^ { 2 } } { 3 x ^ { 2 } + 1 }$
B) $\frac { 1 + 3 x ^ { 2 } } { 3 x ^ { 2 } - 1 }$
C) 1
D) $- 1$

Question

Quizplus · Accepted Answer

The given expression can be simplified by recognizing that $x^{-2} = \frac{1}{x^2}$. Substituting this into the original expression gives $\frac{\frac{1}{x^2} - 3}{3 + \frac{1}{x^2}}$. Multiplying the numerator and the denominator by $x^2$ to clear the fraction within the fraction gives $\frac{1 - 3x^2}{3x^2 + 1}$, which matches choice A.

Simplify - x−2−33+x−2\frac { x ^ { - 2 } - 3 } { 3 + x ^ { - 2 } }3+x−2x−2−3​

Simplify
- $\frac { x ^ { - 2 } - 3 } { 3 + x ^ { - 2 } }$