因数 1/27 x^3+1/125 y^3

解

因数

\frac{1}{27} x^{3} + \frac{1}{125} y^{3}

(\frac{x}{3} + \frac{y}{5}) (\frac{x ^{2}}{9} - \frac{x y}{15} + \frac{y ^{2}}{25})

解答ステップ

\frac{1}{27} x^{3} + \frac{1}{125} y^{3}

因数

\frac{x ^{3}}{27} + \frac{y ^{3}}{125} : (\frac{x}{3} + \frac{y}{5}) ((\frac{1}{3})^{2} x^{2} - \frac{1}{5} \cdot \frac{1}{3} x y + (\frac{1}{5})^{2} y^{2})

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

簡素化

(\frac{x}{3} + \frac{y}{5}) ((\frac{1}{3})^{2} x^{2} - \frac{1}{5} \cdot \frac{1}{3} x y + (\frac{1}{5})^{2} y^{2}) : (\frac{x}{3} + \frac{y}{5}) (\frac{x ^{2}}{9} - \frac{x y}{15} + \frac{y ^{2}}{25})

= (\frac{x}{3} + \frac{y}{5}) (\frac{x ^{2}}{9} - \frac{x y}{15} + \frac{y ^{2}}{25})