What is 1/a-1/((a+1)) ?

The solution to 1/a-1/((a+1)) is 1/(a(a+1))

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simplify 1/a-1/((a+1))

simplify

\frac{1}{a} - \frac{1}{( a + 1 )}

\frac{1}{a ( a + 1 )}

Solution steps

\frac{1}{a} - \frac{1}{a + 1}

Least Common Multiplier of

a, a + 1 : a (a + 1)

Adjust Fractions based on the LCM

= \frac{a + 1}{a ( a + 1 )} - \frac{a}{a ( a + 1 )}

Apply the fraction rule:

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

= \frac{a + 1 - a}{a ( a + 1 )}

Simplify

a + 1 - a : 1

= \frac{1}{a ( a + 1 )}

(2 x + 3)^{3} - 4 (x - 2)^{3}

\frac{x ^{- 4} y ^{9}}{z ^{- 6}}

\frac{tan ( - x ) cos ^{2} ( - x )}{cos ( x )}

l^{- 1} \cdot [\frac{1}{( s ^{2} + 4 s + 4 )}]

v (\frac{( 1 - cos ( x ) )}{( 1 + cos ( x ) )})