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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

\frac{- 3}{4 - x} = - \frac{3}{4 - x}

= \frac{x}{x - 4} - \frac{3}{4 - x}

Join

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

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

2 (3 x + 5)

\frac{3 + 2}{5} + \frac{4}{3} - 2

\frac{( a ^{3} - b ^{3} )}{( a - b )}

(5 x + 5) - (- 2 x^{2} - 2 x - 10)

2 k^{3} + 8 k^{2} - k - 4