What is x/(x^2-4)+1/(x-2) ?

The solution to x/(x^2-4)+1/(x-2) is (2x+2)/((x+2)(x-2))

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simplify x/(x^2-4)+1/(x-2)

simplify

\frac{x}{x ^{2} - 4} + \frac{1}{x - 2}

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

Solution steps

\frac{x}{x ^{2} - 4} + \frac{1}{x - 2}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Add similar elements:

x + x = 2 x

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

2^{l o g_{2} (3) - l o g_{4} (25)}

(3 x + 5) (2 x^{2} + x + 5)

(y + 8)^{2}

- 7 \cdot (- 7)

lo g_{3} (125)

What is x/(x^2-4)+1/(x-2) ?
The solution to x/(x^2-4)+1/(x-2) is (2x+2)/((x+2)(x-2))