Nilaikan
\frac{3x\left(11-5x\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Faktor
\frac{3x\left(11-5x\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Graf
Kongsi
Disalin ke papan klip
\frac{3x}{\left(5x-1\right)\left(x+2\right)}-\frac{6x}{\left(x+2\right)\left(5x+9\right)}
Faktor 5x^{2}+9x-2. Faktor 5x^{2}+19x+18.
\frac{3x\left(5x+9\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}-\frac{6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Untuk menambah atau menolak ungkapan, kembangkannya untuk membuat penyebut mereka sama. Gandaan sepunya terkecil \left(5x-1\right)\left(x+2\right) dan \left(x+2\right)\left(5x+9\right) ialah \left(5x-1\right)\left(x+2\right)\left(5x+9\right). Darabkan \frac{3x}{\left(5x-1\right)\left(x+2\right)} kali \frac{5x+9}{5x+9}. Darabkan \frac{6x}{\left(x+2\right)\left(5x+9\right)} kali \frac{5x-1}{5x-1}.
\frac{3x\left(5x+9\right)-6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Oleh kerana \frac{3x\left(5x+9\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)} dan \frac{6x\left(5x-1\right)}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)} mempunyai penyebut yang sama, tolakkan dengan menolakkan pengangka.
\frac{15x^{2}+27x-30x^{2}+6x}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Lakukan pendaraban dalam 3x\left(5x+9\right)-6x\left(5x-1\right).
\frac{-15x^{2}+33x}{\left(5x-1\right)\left(x+2\right)\left(5x+9\right)}
Gabungkan sebutan serupa dalam 15x^{2}+27x-30x^{2}+6x.
\frac{-15x^{2}+33x}{25x^{3}+90x^{2}+71x-18}
Kembangkan \left(5x-1\right)\left(x+2\right)\left(5x+9\right).
Contoh
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y = 3x + 4
Aritmetik
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Matriks
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Persamaan serentak
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Pembezaan
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Pengamiran
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Had
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