(2/x+3) - (3/x-2) di jawab pake cara
Matematika
karisma63
Pertanyaan
(2/x+3) - (3/x-2) di jawab pake cara
1 Jawaban
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1. Jawaban RexyGamaliel
[tex] \frac{2}{x + 3} - \frac{3}{x -2} \\ = \frac{2}{x + 3} . \frac{x - 2}{x - 2} - \frac{3}{x - 2} . \frac{x + 3}{x + 3} \\ = \frac{2(x - 2)}{(x + 3)(x - 2)} - \frac{3(x + 3)}{(x - 2)(x + 3)} \\ = \frac{2x - 2}{x^2 + x - 6} - \frac{3x + 9}{x^2 + x - 6} \\ = \frac{(2x - 2) - (3x + 9)}{x^2 + x - 6} \\ = \frac{2x - 2 - 3x - 9}{x^2 + x - 6} \\ = \frac{-x - 11}{x^2 + x - 6} [/tex]