Evaluasi
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Luaskan
\frac{x^{2}+5}{\left(x+5\right)\left(x^{2}-1\right)}
Grafik
Bagikan
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\frac{x+2}{\left(x-1\right)\left(x+5\right)}-\frac{3}{\left(x+1\right)\left(x+5\right)}
Faktor dari x^{2}+4x-5. Faktor dari x^{2}+6x+5.
\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}-\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Untuk menambahkan atau mengurangi ekspresi, perluas untuk menyamakan penyebutnya. Kelipatan persekutuan terkecil dari \left(x-1\right)\left(x+5\right) dan \left(x+1\right)\left(x+5\right) adalah \left(x-1\right)\left(x+1\right)\left(x+5\right). Kalikan \frac{x+2}{\left(x-1\right)\left(x+5\right)} kali \frac{x+1}{x+1}. Kalikan \frac{3}{\left(x+1\right)\left(x+5\right)} kali \frac{x-1}{x-1}.
\frac{\left(x+2\right)\left(x+1\right)-3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Karena \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} dan \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} memiliki penyebut yang sama, kurangi bilangan dengan mengurangkan pembilangnya.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Kalikan bilangan berikut \left(x+2\right)\left(x+1\right)-3\left(x-1\right).
\frac{x^{2}+5}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Gabungkan seperti suku di x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Luaskan \left(x-1\right)\left(x+1\right)\left(x+5\right).
\frac{x+2}{\left(x-1\right)\left(x+5\right)}-\frac{3}{\left(x+1\right)\left(x+5\right)}
Faktor dari x^{2}+4x-5. Faktor dari x^{2}+6x+5.
\frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}-\frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Untuk menambahkan atau mengurangi ekspresi, perluas untuk menyamakan penyebutnya. Kelipatan persekutuan terkecil dari \left(x-1\right)\left(x+5\right) dan \left(x+1\right)\left(x+5\right) adalah \left(x-1\right)\left(x+1\right)\left(x+5\right). Kalikan \frac{x+2}{\left(x-1\right)\left(x+5\right)} kali \frac{x+1}{x+1}. Kalikan \frac{3}{\left(x+1\right)\left(x+5\right)} kali \frac{x-1}{x-1}.
\frac{\left(x+2\right)\left(x+1\right)-3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Karena \frac{\left(x+2\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} dan \frac{3\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+5\right)} memiliki penyebut yang sama, kurangi bilangan dengan mengurangkan pembilangnya.
\frac{x^{2}+x+2x+2-3x+3}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Kalikan bilangan berikut \left(x+2\right)\left(x+1\right)-3\left(x-1\right).
\frac{x^{2}+5}{\left(x-1\right)\left(x+1\right)\left(x+5\right)}
Gabungkan seperti suku di x^{2}+x+2x+2-3x+3.
\frac{x^{2}+5}{x^{3}+5x^{2}-x-5}
Luaskan \left(x-1\right)\left(x+1\right)\left(x+5\right).
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