因数 16/25 x^2y^2-36/49 y^4

解

因数

\frac{16}{25} x^{2} y^{2} - \frac{36}{49} y^{4}

y^{2} (\frac{16 x ^{2}}{25} - \frac{36 y ^{2}}{49})

解答ステップ

\frac{16}{25} x^{2} y^{2} - \frac{36}{49} y^{4}

因数

\frac{16 x ^{2} y ^{2}}{25} - \frac{36}{49} y^{4} : y^{2} (\frac{16 x ^{2}}{25} - \frac{36}{49} y^{2})

= y^{2} (\frac{16 x ^{2}}{25} - \frac{36}{49} y^{2})

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= y^{2} (\frac{16 x ^{2}}{25} - \frac{36 y ^{2}}{49})