What is 4/x-5/(x+3) ?

The solution to 4/x-5/(x+3) is (-x+12)/(x(x+3))

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simplify 4/x-5/(x+3)

simplify

\frac{4}{x} - \frac{5}{x + 3}

\frac{- x + 12}{x ( x + 3 )}

Solution steps

\frac{4}{x} - \frac{5}{x + 3}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{4 ( x + 3 )}{x ( x + 3 )} - \frac{5 x}{x ( x + 3 )}

Apply the fraction rule:

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

= \frac{4 ( x + 3 ) - 5 x}{x ( x + 3 )}

Simplify

4 (x + 3) - 5 x : - x + 12

= \frac{- x + 12}{x ( x + 3 )}

3^{3 n} \cdot 3^{3 k}

\frac{1}{2} \times 14

\frac{21}{10} \div \frac{7}{6}

s (s + 4) (s + 6)

- 9 \times (- 3)