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

The solution to (5x+2)/x+(2x)/(x+6) is (7x^2+32x+12)/(x(x+6))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{7 x ^{2} + 32 x + 12}{x ( x + 6 )}

Solution steps

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

Least Common Multiplier of

x, x + 6 : x (x + 6)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(5 x + 2) (x + 6) + 2 x^{2} : 7 x^{2} + 32 x + 12

= \frac{7 x ^{2} + 32 x + 12}{x ( x + 6 )}

\frac{1}{5} a x + \frac{3}{10} a x + a x

(t^{2} + 1)^{2}

(4 x + 2) (4 x - 2)

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

\frac{4 x ^{3} - 7 x ^{2} - 11 x + 5}{4 x + 5}

What is (5x+2)/x+(2x)/(x+6) ?
The solution to (5x+2)/x+(2x)/(x+6) is (7x^2+32x+12)/(x(x+6))