What is 3/((-1/x)^2-2) ?

The solution to 3/((-1/x)^2-2) is (3x^2)/(-2x^2+1)

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simplify 3/((-1/x)^2-2)

simplify

\frac{3}{( - \frac{1}{x} ) ^{2} - 2}

\frac{3 x ^{2}}{- 2 x ^{2} + 1}

Solution steps

\frac{3}{( - \frac{1}{x} ) ^{2} - 2}

Simplify

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

= \frac{3}{\frac{- 2 x ^{2} + 1}{x ^{2}}}

Apply the fraction rule:

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

= \frac{3 x ^{2}}{- 2 x ^{2} + 1}

- 4 f - 6 (6 f - 10)

(x + 1) (2 x^{2} - x + 1)

16.5 - 2 (5.1 x + 9)

3 x - [4 - 2 x + (x - 9) + 7 x]

- 6 (6 p - 9) - 10 p