What is 1/(3+h)-1/3 ?

The solution to 1/(3+h)-1/3 is -h/(3(h+3))

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simplify 1/(3+h)-1/3

simplify

\frac{1}{3 + h} - \frac{1}{3}

- \frac{h}{3 ( h + 3 )}

Solution steps

\frac{1}{3 + h} - \frac{1}{3}

Least Common Multiplier of

3 + h, 3 : 3 (h + 3)

Adjust Fractions based on the LCM

= \frac{3}{3 ( h + 3 )} - \frac{h + 3}{3 ( h + 3 )}

Apply the fraction rule:

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

= \frac{3 - ( h + 3 )}{3 ( h + 3 )}

Simplify

3 - (h + 3) : - h

= \frac{- h}{3 ( h + 3 )}

Apply the fraction rule:

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

= - \frac{h}{3 ( h + 3 )}

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