What is 2/((-1/x)^2-7) ?

The solution to 2/((-1/x)^2-7) is (2x^2)/(-7x^2+1)

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simplify 2/((-1/x)^2-7)

simplify

\frac{2}{( - \frac{1}{x} ) ^{2} - 7}

\frac{2 x ^{2}}{- 7 x ^{2} + 1}

Solution steps

\frac{2}{( - \frac{1}{x} ) ^{2} - 7}

Simplify

(- \frac{1}{x})^{2} - 7 : \frac{- 7 x ^{2} + 1}{x ^{2}}

= \frac{2}{\frac{- 7 x ^{2} + 1}{x ^{2}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 x ^{2}}{- 7 x ^{2} + 1}

x^{4} - 49 x^{2}

\frac{9 + i}{- 7 i}

\frac{1}{5 - 5}

\frac{6 x ^{3} + 8 x ^{2} - 10 x}{2 x}

\frac{1}{9} \cdot \frac{3}{5}