Question

Simplify 5/x^2-1 + 2/x+1 - 3/x+2

Answer 1

Answer:

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Step-by-step explanation:

$\sf\red{ \frac{5}{ {x}^{2} - 1} + \frac{2}{x + 1} - \frac{3}{x + 2}( {x}^{2} - 1 = > {x}^{2} - {1}^{2} = > (x + 1)(x - 1 ) } \\ \sf\red{ = > \frac{5(x - 1) + 2(x + 1) - 3(x + 1)}{(x + 1)(x + 2)} } \\ \sf\red{ = > \frac{5x - 5 + 2x + 2 - 3x - 3}{ {x}^{2} + 2x + x + 2 } } \\ \sf\red{ = > \frac{4x - 6}{ {x}^{2} + 3x + 2} }$

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