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

The solution to 5/(2x)-5/(3x+15) is (5x+75)/(6x(x+5))

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

simplify

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

\frac{5 x + 75}{6 x ( x + 5 )}

Solution steps

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

Least Common Multiplier of

2 x, 3 x + 15 : 6 x (x + 5)

Adjust Fractions based on the LCM

= \frac{15 ( x + 5 )}{6 x ( x + 5 )} - \frac{10 x}{6 x ( x + 5 )}

Apply the fraction rule:

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

= \frac{15 ( x + 5 ) - 10 x}{6 x ( x + 5 )}

Simplify

15 (x + 5) - 10 x : 5 x + 75

= \frac{5 x + 75}{6 x ( x + 5 )}

lo g_{2} (8^{\frac{10}{3}})

3 y^{0}

2 (\frac{π}{3})

4 (\frac{5}{2})

14 x

What is 5/(2x)-5/(3x+15) ?
The solution to 5/(2x)-5/(3x+15) is (5x+75)/(6x(x+5))