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Popular >

simplify 3/(2x+4)+(2x)/(x^2-4)

Solution

simplify

\frac{3}{2 x + 4} + \frac{2 x}{x ^{2} - 4}

Solution

\frac{7 x - 6}{2 ( x + 2 ) ( x - 2 )}

Solution steps

\frac{3}{2 x + 4} + \frac{2 x}{x ^{2} - 4}

Least Common Multiplier of

2 x + 4, x^{2} - 4 : 2 (x + 2) (x - 2)

Adjust Fractions based on the LCM

= \frac{3 ( x - 2 )}{2 ( x + 2 ) ( x - 2 )} + \frac{4 x}{2 ( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{3 ( x - 2 ) + 4 x}{2 ( x + 2 ) ( x - 2 )}

Simplify

3 (x - 2) + 4 x : 7 x - 6

= \frac{7 x - 6}{2 ( x + 2 ) ( x - 2 )}

Popular Examples

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Frequently Asked Questions (FAQ)

What is 3/(2x+4)+(2x)/(x^2-4) ?
The solution to 3/(2x+4)+(2x)/(x^2-4) is (7x-6)/(2(x+2)(x-2))