What is 2-(x+2)/(x-3)-(x-6)/(x+3) ?

The solution to 2-(x+2)/(x-3)-(x-6)/(x+3) is (4x-42)/((x-3)(x+3))

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simplify 2-(x+2)/(x-3)-(x-6)/(x+3)

simplify

2 - \frac{x + 2}{x - 3} - \frac{x - 6}{x + 3}

\frac{4 x - 42}{( x - 3 ) ( x + 3 )}

Solution steps

2 - \frac{x + 2}{x - 3} - \frac{x - 6}{x + 3}

Join

- \frac{x + 2}{x - 3} - \frac{x - 6}{x + 3} : \frac{- ( x + 2 ) ( x + 3 ) - ( x - 6 ) ( x - 3 )}{( x - 3 ) ( x + 3 )}

= 2 + \frac{- ( x + 2 ) ( x + 3 ) - ( x - 6 ) ( x - 3 )}{( x - 3 ) ( x + 3 )}

Apply the fraction rule:

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

= \frac{2 ( x - 3 ) ( x + 3 ) - ( x + 2 ) ( x + 3 ) - ( x - 6 ) ( x - 3 )}{( x - 3 ) ( x + 3 )}

Simplify

2 (x - 3) (x + 3) - (x + 2) (x + 3) - (x - 6) (x - 3) : 4 x - 42

= \frac{4 x - 42}{( x - 3 ) ( x + 3 )}

(4 x 5 x^{2} + 2 x^{2} 6)^{2}

π 1 5^{2}

\frac{v - 1}{4} \cdot \frac{4}{v ^{2} - 11 v + 10}

3 x \cdot 2 y - 4 x^{2} y + 2 x y + 3 x^{2} y

(m - 1)^{3}

What is 2-(x+2)/(x-3)-(x-6)/(x+3) ?
The solution to 2-(x+2)/(x-3)-(x-6)/(x+3) is (4x-42)/((x-3)(x+3))