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

The solution to 3/(x-3)+x/(x+3) is (x^2+9)/((x-3)(x+3))

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

simplify

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

\frac{x ^{2} + 9}{( x - 3 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x + 3) + x (x - 3) : x^{2} + 9

= \frac{x ^{2} + 9}{( x - 3 ) ( x + 3 )}

(- 2 x^{4} y) (x y^{4}) (3 x y)

∣ 6 - 2 ∣

1 - x - 2 x^{2}

- 6 y + y - 7 x

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

What is 3/(x-3)+x/(x+3) ?
The solution to 3/(x-3)+x/(x+3) is (x^2+9)/((x-3)(x+3))