Mathematics, 12.04.2021 16:40, cutecupcake678

The work shows the first steps of writing a partial fraction decomposition. StartFraction 3 x + 9 Over (x + 1) (x minus 5) EndFraction = StartFraction A Over x + 1 EndFraction + StartFraction B Over x minus 5 EndFraction 3 x + 9 = A (x minus 5) + B (x + 1) 3 x + 9 = A x minus 5 A + B x + B What is the partial fraction decomposition in terms of x? StartFraction 3 x + 9 Over (x + 1) (x minus 5) EndFraction = StartFraction 2 Over x + 1 EndFraction + StartFraction 1 Over x minus 5 EndFraction StartFraction 3 x + 9 Over (x + 1) (x minus 5) EndFraction = StartFraction 1 Over x + 1 EndFraction + StartFraction 2 Over x minus 5 EndFraction StartFraction 3 x + 9 Over (x + 1) (x minus 5) EndFraction = StartFraction negative 1 Over x + 1 EndFraction + StartFraction 4 Over x minus 5 EndFraction StartFraction 3 x + 9 Over (x + 1) (x minus 5) EndFraction = StartFraction 4 Over x + 1 EndFraction + StartFraction negative 1 Over x minus 5 EndFraction

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The work shows the first steps of writing a partial fraction decomposition. StartFraction 3 x + 9 Ov...