What is 3/((-1/x)^2-7) ?

The solution to 3/((-1/x)^2-7) is (3x^2)/(-7x^2+1)

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simplify 3/((-1/x)^2-7)

simplify

\frac{3}{( - \frac{1}{x} ) ^{2} - 7}

\frac{3 x ^{2}}{- 7 x ^{2} + 1}

Solution steps

\frac{3}{( - \frac{1}{x} ) ^{2} - 7}

Simplify

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

= \frac{3}{\frac{- 7 x ^{2} + 1}{x ^{2}}}

Apply the fraction rule:

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

= \frac{3 x ^{2}}{- 7 x ^{2} + 1}

- ∣ - 8 ∣

\frac{3}{8} \div \frac{1}{4}

3 [2 (x - 3) + 2] + 5 (x - 3)

(3 - z)^{- 4}

(3 v + 2 d)^{2}