因数 1/256 x^4-1/625

解

因数

\frac{1}{256} x^{4} - \frac{1}{625}

(\frac{x}{4} - \frac{1}{5}) (\frac{x ^{3}}{64} + \frac{x ^{2}}{80} + \frac{x}{100} + \frac{1}{125})

解答ステップ

\frac{1}{256} x^{4} - \frac{1}{625}

因数

\frac{x ^{4}}{256} - \frac{1}{625} : (\frac{x}{4} - \frac{1}{5}) ((\frac{1}{4})^{3} x^{3} + \frac{1}{5} (\frac{1}{4})^{2} x^{2} + (\frac{1}{5})^{2} \frac{1}{4} x + (\frac{1}{5})^{3})

= (\frac{x}{4} - \frac{1}{5}) ((\frac{1}{4})^{3} x^{3} + \frac{1}{5} (\frac{1}{4})^{2} x^{2} + (\frac{1}{5})^{2} \frac{1}{4} x + (\frac{1}{5})^{3})

簡素化

(\frac{x}{4} - \frac{1}{5}) ((\frac{1}{4})^{3} x^{3} + \frac{1}{5} (\frac{1}{4})^{2} x^{2} + (\frac{1}{5})^{2} \frac{1}{4} x + (\frac{1}{5})^{3}) : (\frac{x}{4} - \frac{1}{5}) (\frac{x ^{3}}{64} + \frac{x ^{2}}{80} + \frac{x}{100} + \frac{1}{125})

= (\frac{x}{4} - \frac{1}{5}) (\frac{x ^{3}}{64} + \frac{x ^{2}}{80} + \frac{x}{100} + \frac{1}{125})