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

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

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simplify x/(x-3)*(2x)/(x+5)

simplify

\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}

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

Solution steps

\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}

Apply the fraction rule:

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

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

Apply exponent rule:

aa = a^{2}

xx = x^{2}

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

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

(- 3) \cdot (- 3)

- 3 x^{5} + 5 x^{3}

\frac{3}{4} (\frac{4}{3} (x + 2)) - 2

(x + 1) (x + 2) - (x + 2) (x + 3) + 2 x

\frac{( x ^{2} - 9 x y - 10 y ^{2} )}{( x + y )}

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