簡約 3a^2(2x-y)-2x(a+y^2)^2

解

簡約

3 a^{2} (2 x - y) - 2 x (a + y^{2})^{2}

4 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}

解答ステップ

3 a^{2} (2 x - y) - 2 x (a + y^{2})^{2}

拡張

3 a^{2} (2 x - y) : 6 x a^{2} - 3 a^{2} y

= 6 x a^{2} - 3 a^{2} y - 2 x (a + y^{2})^{2}

拡張

- 2 x (a + y^{2})^{2} : - 2 x a^{2} - 4 a x y^{2} - 2 x y^{4}

= 6 x a^{2} - 3 a^{2} y - 2 x a^{2} - 4 a x y^{2} - 2 x y^{4}

条件のようなグループ

= 6 x a^{2} - 2 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}

類似した元を足す:

6 x a^{2} - 2 x a^{2} = 4 x a^{2}

= 4 x a^{2} - 3 a^{2} y - 2 x y^{4} - 4 a x y^{2}