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(2x/x+3)+(x+3/x-5) in simplest form

Sagot :

Answer:

Below

Step-by-step explanation:

(2x/x+3) + (x+3/x-5)

Transform: 2x(x-5) + (x+3)^2 / (x+3)(x-5)

Remove brackets and expand : 2x^2 - 10x + x^2 + 6x + 9 / x^2 - 5x + 3x - 15

Collect like terms : 3x^2 - 4x + 9 / x^2 - 2x - 15

Final answer: 3x^2 - 4x + 9 / x^2 - 2x - 15