What is (5/((x+h))+(5/x))/h ?

The solution to (5/((x+h))+(5/x))/h is (10x+5h)/(x(x+h)h)

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simplify (5/((x+h))+(5/x))/h

simplify

\frac{\frac{5}{( x + h )} + ( \frac{5}{x} )}{h}

\frac{10 x + 5 h}{x ( x + h ) h}

Solution steps

\frac{\frac{5}{x + h} + ( \frac{5}{x} )}{h}

Apply rule:

(a) = a

(\frac{5}{x}) = \frac{5}{x}

= \frac{\frac{5}{x + h} + \frac{5}{x}}{h}

Join

\frac{5}{x + h} + \frac{5}{x} : \frac{10 x + 5 h}{x ( x + h )}

= \frac{\frac{10 x + 5 h}{x ( x + h )}}{h}

Apply the fraction rule:

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

= \frac{10 x + 5 h}{x ( x + h ) h}

- 4 (- 10 + 1)

5 a - 15

\frac{2 + 5}{2 - 5}

2 = x - 16

b + 2 \leq 6

What is (5/((x+h))+(5/x))/h ?
The solution to (5/((x+h))+(5/x))/h is (10x+5h)/(x(x+h)h)