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

The solution to 2-(x+1)/(x-2)-(x-4)/(x+2) is (3x-18)/((x-2)(x+2))

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

simplify

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

\frac{3 x - 18}{( x - 2 ) ( x + 2 )}

Solution steps

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

Join

- \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2} : \frac{- ( x + 1 ) ( x + 2 ) - ( x - 4 ) ( x - 2 )}{( x - 2 ) ( x + 2 )}

= 2 + \frac{- ( x + 1 ) ( x + 2 ) - ( x - 4 ) ( x - 2 )}{( x - 2 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{2 ( x - 2 ) ( x + 2 ) - ( x + 1 ) ( x + 2 ) - ( x - 4 ) ( x - 2 )}{( x - 2 ) ( x + 2 )}

Simplify

2 (x - 2) (x + 2) - (x + 1) (x + 2) - (x - 4) (x - 2) : 3 x - 18

= \frac{3 x - 18}{( x - 2 ) ( x + 2 )}

(10 + 2 i)^{2}

(25)^{2}

\frac{70}{4}

lo g_{10} (1.3)

(m - 8)^{2}

What is 2-(x+1)/(x-2)-(x-4)/(x+2) ?
The solution to 2-(x+1)/(x-2)-(x-4)/(x+2) is (3x-18)/((x-2)(x+2))