What is (x+5)/(x^2-4)-(x+1)/(x-2) ?

The solution to (x+5)/(x^2-4)-(x+1)/(x-2) is (-x^2-2x+3)/((x+2)(x-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+5)/(x^2-4)-(x+1)/(x-2)

simplify

\frac{x + 5}{x ^{2} - 4} - \frac{x + 1}{x - 2}

\frac{- x ^{2} - 2 x + 3}{( x + 2 ) ( x - 2 )}

Solution steps

\frac{x + 5}{x ^{2} - 4} - \frac{x + 1}{x - 2}

Least Common Multiplier of

x^{2} - 4, x - 2 : (x + 2) (x - 2)

Adjust Fractions based on the LCM

= \frac{x + 5}{( x + 2 ) ( x - 2 )} - \frac{( x + 1 ) ( x + 2 )}{( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{x + 5 - ( x + 1 ) ( x + 2 )}{( x + 2 ) ( x - 2 )}

Simplify

x + 5 - (x + 1) (x + 2) : - x^{2} - 2 x + 3

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

\frac{π}{8} + 2 π

- 6.544 - 2.78

lo g_{10} (2) (10)

1.0 8^{12}

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

What is (x+5)/(x^2-4)-(x+1)/(x-2) ?
The solution to (x+5)/(x^2-4)-(x+1)/(x-2) is (-x^2-2x+3)/((x+2)(x-2))