Matematika

Pertanyaan

bentuk sederhana dari
[tex] \frac{ {x }^{2} - 4 }{ 2 {x}^{2} - x - 10 } [/tex]
adalah...

1 Jawaban

  • [tex] \frac{x {}^{2 } - 4}{2x { }^{2} - x - 10 } \\ = \frac{ (x - 2) \times (x + 2)}{2x {}^{2} - x - 10} \\= \frac{(x - 2) \times( x + 2)}{2x {}^{2} + 4x - 5x - 10 } \\ = \frac{(x -2 ) \times (x + 2) }{2x \times (x + 2) - 5(x + 2) } \\ = \frac{(x - 2) \times (x + 2)}{(x + 2) \times (2x - 5)} \\ = \frac{x - 2}{2x - 5} [/tex]

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