What is (2x-1)/(2x^2+5x+3)+2/(3x+3) ?

The solution to (2x-1)/(2x^2+5x+3)+2/(3x+3) is (10x+3)/(3(x+1)(2x+3))

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simplify (2x-1)/(2x^2+5x+3)+2/(3x+3)

simplify

\frac{2 x - 1}{2 x ^{2} + 5 x + 3} + \frac{2}{3 x + 3}

\frac{10 x + 3}{3 ( x + 1 ) ( 2 x + 3 )}

Solution steps

\frac{2 x - 1}{2 x ^{2} + 5 x + 3} + \frac{2}{3 x + 3}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(2 x - 1) \cdot 3 + 2 (2 x + 3) : 10 x + 3

= \frac{10 x + 3}{3 ( x + 1 ) ( 2 x + 3 )}

- 5 \times (- 3)

lo g_{17} (17)

(x^{2} + 8)^{2} + 8

(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})

(6 4^{\frac{1}{3}})^{2}

What is (2x-1)/(2x^2+5x+3)+2/(3x+3) ?
The solution to (2x-1)/(2x^2+5x+3)+2/(3x+3) is (10x+3)/(3(x+1)(2x+3))