What is 3/((-5/x)^2-7) ?

The solution to 3/((-5/x)^2-7) is (3x^2)/(-7x^2+25)

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simplify 3/((-5/x)^2-7)

simplify

\frac{3}{( - \frac{5}{x} ) ^{2} - 7}

\frac{3 x ^{2}}{- 7 x ^{2} + 25}

Solution steps

\frac{3}{( - \frac{5}{x} ) ^{2} - 7}

Simplify

(- \frac{5}{x})^{2} - 7 : \frac{- 7 x ^{2} + 25}{x ^{2}}

= \frac{3}{\frac{- 7 x ^{2} + 25}{x ^{2}}}

Apply the fraction rule:

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

= \frac{3 x ^{2}}{- 7 x ^{2} + 25}

- 3 x + 5 x

\frac{( x ^{5} - a ^{5} )}{( x - a )}

- 73 - 3

(25 z^{4})^{- \frac{3}{2}}

(9 - 5 i) - (- 6 + 10 i)