What is 3/((-5/x)^2-2) ?

The solution to 3/((-5/x)^2-2) is (3x^2)/(-2x^2+25)

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simplify 3/((-5/x)^2-2)

simplify

\frac{3}{( - \frac{5}{x} ) ^{2} - 2}

\frac{3 x ^{2}}{- 2 x ^{2} + 25}

Solution steps

\frac{3}{( - \frac{5}{x} ) ^{2} - 2}

Simplify

(- \frac{5}{x})^{2} - 2 : \frac{- 2 x ^{2} + 25}{x ^{2}}

= \frac{3}{\frac{- 2 x ^{2} + 25}{x ^{2}}}

Apply the fraction rule:

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

= \frac{3 x ^{2}}{- 2 x ^{2} + 25}

- 10 (- 5 f + 7 f + 2) - f

6 + 8 (4 w - 7) - (2 w + 1)

(5 a^{2} + 7 b) (7 a - 5 b)

(4 x^{2} - 1) (6 x^{2} - 9)