What is 2-(x+3)/(x+1)-(x-5)/(x-1) ?

The solution to 2-(x+3)/(x+1)-(x-5)/(x-1) is (2x+6)/((x+1)(x-1))

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simplify 2-(x+3)/(x+1)-(x-5)/(x-1)

simplify

2 - \frac{x + 3}{x + 1} - \frac{x - 5}{x - 1}

\frac{2 x + 6}{( x + 1 ) ( x - 1 )}

Solution steps

2 - \frac{x + 3}{x + 1} - \frac{x - 5}{x - 1}

Join

- \frac{x + 3}{x + 1} - \frac{x - 5}{x - 1} : \frac{- ( x + 3 ) ( x - 1 ) - ( x - 5 ) ( x + 1 )}{( x + 1 ) ( x - 1 )}

= 2 + \frac{- ( x + 3 ) ( x - 1 ) - ( x - 5 ) ( x + 1 )}{( x + 1 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{2 ( x + 1 ) ( x - 1 ) - ( x + 3 ) ( x - 1 ) - ( x - 5 ) ( x + 1 )}{( x + 1 ) ( x - 1 )}

Simplify

2 (x + 1) (x - 1) - (x + 3) (x - 1) - (x - 5) (x + 1) : 2 x + 6

= \frac{2 x + 6}{( x + 1 ) ( x - 1 )}

(a + \frac{1}{a})^{2}

\frac{55}{12}

\frac{sin ^{2} ( x )}{sec ^{2} ( x ) - 1}

\frac{3}{x} \cdot \frac{x ^{2}}{12}

What is 2-(x+3)/(x+1)-(x-5)/(x-1) ?
The solution to 2-(x+3)/(x+1)-(x-5)/(x-1) is (2x+6)/((x+1)(x-1))