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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

x + 3, x - 3 : (x + 3) (x - 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - 3 + x + 3 : 2 x

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

(- 5 - 2) (3 - 6)

\frac{4}{3} π 8^{3}

\frac{15 m ^{2}}{3 ( m ^{5} ) ^{3}}

2 - 3 x - 2 x^{2}

3 a \cdot a