Réponse :

Bonsoir

A = 7/x + x/ (- x - 2) + (8x - 1) / ( - 2x - x²)

A = [ 7/x ]+ [ x/ (- x - 2) ] + [ (8x - 1) / (x (- 2 - x) ) ]

A = [ 7 ( - 2 - x) / (x ( - 2 - x) ) ] + [ x × x / (x ( - 2 - x)) ] + [( 8x - 1) /(x (- 2 -x)) ]

A = [( - 14 - 7x) / (x ( - 2 - x) )  ] + [ x²/ (x ( - 2 - x) ) ] + [(8x - 1) / (x ( - 2 - x) ) ]

A = [ - 14 - 7x + x ² + 8x - 1 ] / (x ( - 2 - x) )

A = (x² + x - 15) / (x ( - 2 - x) )