Nilaikan
\frac{2x^{2}-13x+7}{\left(x-1\right)\left(x^{2}-9\right)}
Kembangkan
\frac{2x^{2}-13x+7}{\left(x-1\right)\left(x^{2}-9\right)}
Graf
Kongsi
Disalin ke papan klip
\frac{3x-1}{\left(x-1\right)\left(x+3\right)}-\frac{x+4}{\left(x-3\right)\left(x+3\right)}
Faktor x^{2}+2x-3. Faktor x^{2}-9.
\frac{\left(3x-1\right)\left(x-3\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}-\frac{\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil \left(x-1\right)\left(x+3\right) dan \left(x-3\right)\left(x+3\right) ialah \left(x-3\right)\left(x-1\right)\left(x+3\right). Darabkan \frac{3x-1}{\left(x-1\right)\left(x+3\right)} kali \frac{x-3}{x-3}. Darabkan \frac{x+4}{\left(x-3\right)\left(x+3\right)} kali \frac{x-1}{x-1}.
\frac{\left(3x-1\right)\left(x-3\right)-\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Oleh kerana \frac{\left(3x-1\right)\left(x-3\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)} dan \frac{\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{3x^{2}-9x-x+3-x^{2}+x-4x+4}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Lakukan pendaraban dalam \left(3x-1\right)\left(x-3\right)-\left(x+4\right)\left(x-1\right).
\frac{2x^{2}-13x+7}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Gabungkan sebutan serupa dalam 3x^{2}-9x-x+3-x^{2}+x-4x+4.
\frac{2x^{2}-13x+7}{x^{3}-x^{2}-9x+9}
Kembangkan \left(x-3\right)\left(x-1\right)\left(x+3\right).
\frac{3x-1}{\left(x-1\right)\left(x+3\right)}-\frac{x+4}{\left(x-3\right)\left(x+3\right)}
Faktor x^{2}+2x-3. Faktor x^{2}-9.
\frac{\left(3x-1\right)\left(x-3\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}-\frac{\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil \left(x-1\right)\left(x+3\right) dan \left(x-3\right)\left(x+3\right) ialah \left(x-3\right)\left(x-1\right)\left(x+3\right). Darabkan \frac{3x-1}{\left(x-1\right)\left(x+3\right)} kali \frac{x-3}{x-3}. Darabkan \frac{x+4}{\left(x-3\right)\left(x+3\right)} kali \frac{x-1}{x-1}.
\frac{\left(3x-1\right)\left(x-3\right)-\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Oleh kerana \frac{\left(3x-1\right)\left(x-3\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)} dan \frac{\left(x+4\right)\left(x-1\right)}{\left(x-3\right)\left(x-1\right)\left(x+3\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{3x^{2}-9x-x+3-x^{2}+x-4x+4}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Lakukan pendaraban dalam \left(3x-1\right)\left(x-3\right)-\left(x+4\right)\left(x-1\right).
\frac{2x^{2}-13x+7}{\left(x-3\right)\left(x-1\right)\left(x+3\right)}
Gabungkan sebutan serupa dalam 3x^{2}-9x-x+3-x^{2}+x-4x+4.
\frac{2x^{2}-13x+7}{x^{3}-x^{2}-9x+9}
Kembangkan \left(x-3\right)\left(x-1\right)\left(x+3\right).
Contoh
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Aritmetik
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Persamaan serentak
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Pengamiran
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Had
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