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

The solution to 3x+2+(x+3)/(2x+1) is (6x^2+8x+5)/(2x+1)

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

simplify

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

\frac{6 x ^{2} + 8 x + 5}{2 x + 1}

Solution steps

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

Convert

3 x

to fraction

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

Convert

2

to fraction

: \frac{2 ( 2 x + 1 )}{2 x + 1}

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

Apply the fraction rule:

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

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

Simplify

3 x (2 x + 1) + 2 (2 x + 1) + x + 3 : 6 x^{2} + 8 x + 5

= \frac{6 x ^{2} + 8 x + 5}{2 x + 1}

(y + 3) (y - 7) - (y + 3) (y + 1)

(3 - x) (3 - x)

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

\frac{106}{5}

\frac{x}{x + 1} \cdot \frac{1}{x}

What is 3x+2+(x+3)/(2x+1) ?
The solution to 3x+2+(x+3)/(2x+1) is (6x^2+8x+5)/(2x+1)