What is 1/(3x+2)+x/(x+1) ?

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

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simplify 1/(3x+2)+x/(x+1)

simplify

\frac{1}{3 x + 2} + \frac{x}{x + 1}

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

Solution steps

\frac{1}{3 x + 2} + \frac{x}{x + 1}

Least Common Multiplier of

3 x + 2, x + 1 : (x + 1) (3 x + 2)

Adjust Fractions based on the LCM

= \frac{x + 1}{( x + 1 ) ( 3 x + 2 )} + \frac{x ( 3 x + 2 )}{( x + 1 ) ( 3 x + 2 )}

Apply the fraction rule:

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

= \frac{x + 1 + x ( 3 x + 2 )}{( x + 1 ) ( 3 x + 2 )}

Simplify

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

= \frac{3 x ^{2} + 3 x + 1}{( x + 1 ) ( 3 x + 2 )}

lo g_{2} (\frac{10}{3})

(x - h)^{4}

\frac{i - 6}{3}

5^{- 3} \cdot 5

5 (a + b) + 2 (a + c) - 4 (b + c)

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