What is (4x)/(x+3)+6/(x+2) ?

The solution to (4x)/(x+3)+6/(x+2) is (4x^2+14x+18)/((x+3)(x+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4x)/(x+3)+6/(x+2)

simplify

\frac{4 x}{x + 3} + \frac{6}{x + 2}

\frac{4 x ^{2} + 14 x + 18}{( x + 3 ) ( x + 2 )}

Solution steps

\frac{4 x}{x + 3} + \frac{6}{x + 2}

Least Common Multiplier of

x + 3, x + 2 : (x + 3) (x + 2)

Adjust Fractions based on the LCM

= \frac{4 x ( x + 2 )}{( x + 3 ) ( x + 2 )} + \frac{6 ( x + 3 )}{( x + 3 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{4 x ( x + 2 ) + 6 ( x + 3 )}{( x + 3 ) ( x + 2 )}

Simplify

4 x (x + 2) + 6 (x + 3) : 4 x^{2} + 14 x + 18

= \frac{4 x ^{2} + 14 x + 18}{( x + 3 ) ( x + 2 )}

6 x^{3} + 2 x^{2} - 9 x^{3}

3 - 3 x

(3 x^{3} + 1)^{2}

31 - 7

34 - 7

What is (4x)/(x+3)+6/(x+2) ?
The solution to (4x)/(x+3)+6/(x+2) is (4x^2+14x+18)/((x+3)(x+2))