Benjamin1030 Benjamin1030

15-03-2024
Mathematics

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SIimplify the expression
2/(X+1)² + 3/(X-1)

Respuesta :

djp6182583 djp6182583

15-03-2024

Answer:

(3x^2 + 8x + 1) / (x - 1)(x+1)^2

Step-by-step explanation:

The LCM of (x+1)^2 and (x - 1) is (x - 1)(x+1)^2

So we have:

(2(x-1) + 3(x+1)^2) / (x - 1)(x+1)^2

= (2x -2 +3x^2 + 6x + 3) / (x - 1)(x+1)^2

= (3x^2 + 8x + 1) / (x - 1)(x+1)^2

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