What is (3x}{x+3}+\frac{x+2)/x ?

The solution to (3x}{x+3}+\frac{x+2)/x is (4x^2+5x+6)/(x(x+3))

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simplify (3x}{x+3}+\frac{x+2)/x

simplify

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

\frac{4 x ^{2} + 5 x + 6}{x ( x + 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 x^{2} + (x + 2) (x + 3) : 4 x^{2} + 5 x + 6

= \frac{4 x ^{2} + 5 x + 6}{x ( x + 3 )}

- \frac{3}{4} - \frac{3}{4}

lo g_{\frac{1}{2}} (0.125)

3 x^{3} + 12 x

7776

- 9 - 18

What is (3x}{x+3}+\frac{x+2)/x ?
The solution to (3x}{x+3}+\frac{x+2)/x is (4x^2+5x+6)/(x(x+3))