What is 2/x-4/(x+4) ?

The solution to 2/x-4/(x+4) is (-2x+8)/(x(x+4))

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simplify 2/x-4/(x+4)

simplify

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

\frac{- 2 x + 8}{x ( x + 4 )}

Solution steps

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

Least Common Multiplier of

x, x + 4 : x (x + 4)

Adjust Fractions based on the LCM

= \frac{2 ( x + 4 )}{x ( x + 4 )} - \frac{4 x}{x ( x + 4 )}

Apply the fraction rule:

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

= \frac{2 ( x + 4 ) - 4 x}{x ( x + 4 )}

Simplify

2 (x + 4) - 4 x : - 2 x + 8

= \frac{- 2 x + 8}{x ( x + 4 )}

2 \frac{3}{10}

(a - b)^{2} - (c - d)^{2}

1 + x^{2} + x^{4}

2 y^{3} - 12 y^{2} + 3 y - 18

\frac{70}{8}