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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

2^{8} \cdot 2^{5}

\frac{- 3}{9 - ( - 3 ) ^{2}}

3 \frac{4}{9} - 1 \frac{1}{6}

16 x^{4} - 54 x

u - u - 9 u