Nilaikan
\frac{\left(x-5\right)\left(x^{3}+x+5\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}
Kembangkan
\frac{x^{4}-5x^{3}+x^{2}-25}{\left(x-1\right)\left(x^{2}+x+5\right)}
Graf
Kongsi
Disalin ke papan klip
\frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}-\frac{\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil x-1 dan x^{2}+x+5 ialah \left(x-1\right)\left(x^{2}+x+5\right). Darabkan \frac{x^{2}-5x}{x-1} kali \frac{x^{2}+x+5}{x^{2}+x+5}. Darabkan \frac{x^{2}-25}{x^{2}+x+5} kali \frac{x-1}{x-1}.
\frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)-\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}
Oleh kerana \frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)}{\left(x-1\right)\left(x^{2}+x+5\right)} dan \frac{\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{x^{4}+x^{3}+5x^{2}-5x^{3}-5x^{2}-25x-x^{3}+x^{2}+25x-25}{\left(x-1\right)\left(x^{2}+x+5\right)}
Lakukan pendaraban dalam \left(x^{2}-5x\right)\left(x^{2}+x+5\right)-\left(x^{2}-25\right)\left(x-1\right).
\frac{x^{4}-5x^{3}+x^{2}-25}{\left(x-1\right)\left(x^{2}+x+5\right)}
Gabungkan sebutan serupa dalam x^{4}+x^{3}+5x^{2}-5x^{3}-5x^{2}-25x-x^{3}+x^{2}+25x-25.
\frac{x^{4}-5x^{3}+x^{2}-25}{x^{3}+4x-5}
Kembangkan \left(x-1\right)\left(x^{2}+x+5\right).
\frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}-\frac{\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil x-1 dan x^{2}+x+5 ialah \left(x-1\right)\left(x^{2}+x+5\right). Darabkan \frac{x^{2}-5x}{x-1} kali \frac{x^{2}+x+5}{x^{2}+x+5}. Darabkan \frac{x^{2}-25}{x^{2}+x+5} kali \frac{x-1}{x-1}.
\frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)-\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)}
Oleh kerana \frac{\left(x^{2}-5x\right)\left(x^{2}+x+5\right)}{\left(x-1\right)\left(x^{2}+x+5\right)} dan \frac{\left(x^{2}-25\right)\left(x-1\right)}{\left(x-1\right)\left(x^{2}+x+5\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{x^{4}+x^{3}+5x^{2}-5x^{3}-5x^{2}-25x-x^{3}+x^{2}+25x-25}{\left(x-1\right)\left(x^{2}+x+5\right)}
Lakukan pendaraban dalam \left(x^{2}-5x\right)\left(x^{2}+x+5\right)-\left(x^{2}-25\right)\left(x-1\right).
\frac{x^{4}-5x^{3}+x^{2}-25}{\left(x-1\right)\left(x^{2}+x+5\right)}
Gabungkan sebutan serupa dalam x^{4}+x^{3}+5x^{2}-5x^{3}-5x^{2}-25x-x^{3}+x^{2}+25x-25.
\frac{x^{4}-5x^{3}+x^{2}-25}{x^{3}+4x-5}
Kembangkan \left(x-1\right)\left(x^{2}+x+5\right).
Contoh
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Had
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