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

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

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

simplify

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

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

Solution steps

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

Simplify

(- \frac{5}{x})^{2} - 3 : \frac{- 3 x ^{2} + 25}{x ^{2}}

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

Apply the fraction rule:

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

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

(2 r^{3} s) 2 (s r^{3}) 3

9.1 (x + 2) + 2.7 (x - 3.6)

(9 - 5 y)^{2}

11 x + 3 (3 x - 6)

5 - 13