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

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

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simplify 1/k-1/(k+1)

simplify

\frac{1}{k} - \frac{1}{k + 1}

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

Solution steps

\frac{1}{k} - \frac{1}{k + 1}

Least Common Multiplier of

k, k + 1 : k (k + 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

k + 1 - k : 1

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

4 (2 y + 3)

(x^{2} + 4 x + 5)^{2}

(x - 10)^{2}

(- 1.2)^{2}