What is 2/5-6/(x+3) ?

The solution to 2/5-6/(x+3) is (2x-24)/(5(x+3))

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simplify 2/5-6/(x+3)

simplify

\frac{2}{5} - \frac{6}{x + 3}

\frac{2 x - 24}{5 ( x + 3 )}

Solution steps

\frac{2}{5} - \frac{6}{x + 3}

Least Common Multiplier of

5, x + 3 : 5 (x + 3)

Adjust Fractions based on the LCM

= \frac{2 ( x + 3 )}{5 ( x + 3 )} - \frac{30}{5 ( x + 3 )}

Apply the fraction rule:

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

= \frac{2 ( x + 3 ) - 30}{5 ( x + 3 )}

Simplify

2 (x + 3) - 30 : 2 x - 24

= \frac{2 x - 24}{5 ( x + 3 )}

\frac{2}{6}

5 6^{- 1}

+ 12 (m + p) + 8 (m + p)^{2}

5 \times 5 \times 5 \times 5 \times 5

\frac{6}{826}