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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

3 + x, 3 : 3 (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 - (x + 3) : - x

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

Apply the fraction rule:

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

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

(1.1)^{2} \cdot 1 0^{2}

\frac{2}{x} + \frac{4}{x + 4}

\frac{tan ( t )}{sec ( t ) - cos ( t )}

2 \frac{3}{4} - (- 1 \frac{1}{2}) + (- \frac{5}{6}) - (- \frac{3}{8}) - (+ 4 \frac{2}{3})

x \cdot x \cdot x \cdot x