What is (2x)/(x^2+x-2)-5/(3x+6) ?

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

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simplify (2x)/(x^2+x-2)-5/(3x+6)

simplify

\frac{2 x}{x ^{2} + x - 2} - \frac{5}{3 x + 6}

\frac{x + 5}{3 ( x - 1 ) ( x + 2 )}

Solution steps

\frac{2 x}{x ^{2} + x - 2} - \frac{5}{3 x + 6}

Least Common Multiplier of

x^{2} + x - 2, 3 x + 6 : 3 (x - 1) (x + 2)

Adjust Fractions based on the LCM

= \frac{6 x}{3 ( x - 1 ) ( x + 2 )} - \frac{5 ( x - 1 )}{3 ( x - 1 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{6 x - 5 ( x - 1 )}{3 ( x - 1 ) ( x + 2 )}

Simplify

6 x - 5 (x - 1) : x + 5

= \frac{x + 5}{3 ( x - 1 ) ( x + 2 )}

- 10 \times 5

2.8 3^{2}

9 \cdot 3 \frac{5}{6}

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

4 \frac{3}{4} \div 3

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