What is (1/(6+x+h)-1/(6+x))/h ?

The solution to (1/(6+x+h)-1/(6+x))/h is -1/((x+6)(x+h+6))

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simplify (1/(6+x+h)-1/(6+x))/h

simplify

\frac{\frac{1}{6 + x + h} - \frac{1}{6 + x}}{h}

- \frac{1}{( x + 6 ) ( x + h + 6 )}

Solution steps

\frac{\frac{1}{6 + x + h} - \frac{1}{6 + x}}{h}

Join

\frac{1}{6 + x + h} - \frac{1}{6 + x} : - \frac{h}{( x + 6 ) ( x + h + 6 )}

= \frac{- \frac{h}{( x + 6 ) ( x + h + 6 )}}{h}

Apply the fraction rule:

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

= - \frac{\frac{h}{( x + 6 ) ( x + h + 6 )}}{h}

Apply the fraction rule:

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

\frac{\frac{h}{( x + 6 ) ( x + h + 6 )}}{h} = \frac{h}{( x + 6 ) ( x + h + 6 ) h}

= - \frac{h}{( x + 6 ) ( x + h + 6 ) h}

Cancel the common factor:

h

= - \frac{1}{( x + 6 ) ( x + h + 6 )}

g - 16 = 4

2 x^{2} = 9 x + 5

25 - 81 x^{4}

x^{2} - 2 x + 15 = 0

\frac{\frac{2}{3}}{\frac{1}{3}}

What is (1/(6+x+h)-1/(6+x))/h ?
The solution to (1/(6+x+h)-1/(6+x))/h is -1/((x+6)(x+h+6))