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

The solution to (2x)/(x-2)-(x+3)/(x+5) is (x^2+9x+6)/((x-2)(x+5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{x ^{2} + 9 x + 6}{( x - 2 ) ( x + 5 )}

Solution steps

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

Least Common Multiplier of

x - 2, x + 5 : (x - 2) (x + 5)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 x (x + 5) - (x + 3) (x - 2) : x^{2} + 9 x + 6

= \frac{x ^{2} + 9 x + 6}{( x - 2 ) ( x + 5 )}

2 \frac{3}{4} + 1 \frac{2}{5}

\frac{24 x ^{7} y ^{7}}{40 x y ^{6}}

4 x^{3} + 2 x - 2

y^{36}

d x (\frac{1}{x})

What is (2x)/(x-2)-(x+3)/(x+5) ?
The solution to (2x)/(x-2)-(x+3)/(x+5) is (x^2+9x+6)/((x-2)(x+5))