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

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

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

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

(3 n + 2)^{2}

\frac{225}{360}

- 5 x^{2} + 65 x + 150

\frac{60}{108}

\frac{24 x ^{6}}{4 x ^{2}}