What is ((x^2)/3-x)/((15)/x+5) ?

The solution to ((x^2)/3-x)/((15)/x+5) is ((-3x+x^2)x)/(3(5x+15))

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simplify ((x^2)/3-x)/((15)/x+5)

simplify

\frac{\frac{x ^{2}}{3} - x}{\frac{15}{x} + 5}

\frac{( - 3 x + x ^{2} ) x}{3 ( 5 x + 15 )}

Solution steps

\frac{\frac{x ^{2}}{3} - x}{\frac{15}{x} + 5}

Simplify

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

= \frac{\frac{- 3 x + x ^{2}}{3}}{\frac{15}{x} + 5}

Join

\frac{15}{x} + 5 : \frac{5 x + 15}{x}

= \frac{\frac{- 3 x + x ^{2}}{3}}{\frac{5 x + 15}{x}}

Apply the fraction rule:

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

= \frac{( - 3 x + x ^{2} ) x}{3 ( 5 x + 15 )}

42 \times \frac{5}{6}

\frac{x + 1}{x - 1} - 1

- \frac{3}{10} + \frac{1}{8} + \frac{7}{20}

+ 4 a x + 8 a y - 6 a z

\frac{28}{3 + 2}

What is ((x^2)/3-x)/((15)/x+5) ?
The solution to ((x^2)/3-x)/((15)/x+5) is ((-3x+x^2)x)/(3(5x+15))