What is (x+1)/(x^2-4)-3/(x+2) ?

The solution to (x+1)/(x^2-4)-3/(x+2) is (-2x+7)/((x+2)(x-2))

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simplify (x+1)/(x^2-4)-3/(x+2)

simplify

\frac{x + 1}{x ^{2} - 4} - \frac{3}{x + 2}

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

Solution steps

\frac{x + 1}{x ^{2} - 4} - \frac{3}{x + 2}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 1 - 3 (x - 2) : - 2 x + 7

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

(\frac{1}{4} x - 2 y^{3})^{2}

(6 - 8 i) (9 + 2 i)

\frac{2}{7} + \frac{1}{14} + \frac{3}{2}

\frac{20 270}{4 3}

2 \frac{1}{3} - \frac{3}{6}

What is (x+1)/(x^2-4)-3/(x+2) ?
The solution to (x+1)/(x^2-4)-3/(x+2) is (-2x+7)/((x+2)(x-2))