簡約 (8x^2-9y^2-4x)+(x^2-3y^2-7x)

解

簡約

(8 x^{2} - 9 y^{2} - 4 x) + (x^{2} - 3 y^{2} - 7 x)

9 x^{2} - 11 x - 12 y^{2}

解答ステップ

(8 x^{2} - 9 y^{2} - 4 x) + (x^{2} - 3 y^{2} - 7 x)

簡素化

(8 x^{2} - 9 y^{2} - 4 x) + (x^{2} - 3 y^{2} - 7 x) : 8 x^{2} - 9 y^{2} - 4 x + x^{2} - 3 y^{2} - 7 x

= 8 x^{2} - 9 y^{2} - 4 x + x^{2} - 3 y^{2} - 7 x

条件のようなグループ

= 8 x^{2} + x^{2} - 4 x - 7 x - 9 y^{2} - 3 y^{2}

類似した元を足す:

8 x^{2} + x^{2} = 9 x^{2}

= 9 x^{2} - 4 x - 7 x - 9 y^{2} - 3 y^{2}

類似した元を足す:

- 4 x - 7 x = - 11 x

= 9 x^{2} - 11 x - 9 y^{2} - 3 y^{2}

類似した元を足す:

- 9 y^{2} - 3 y^{2} = - 12 y^{2}

= 9 x^{2} - 11 x - 12 y^{2}