簡約 (10x-12-3x^2)-(18-4x^2+9x)

解

簡約

(10 x - 12 - 3 x^{2}) - (18 - 4 x^{2} + 9 x)

x^{2} + x - 30

解答ステップ

(10 x - 12 - 3 x^{2}) - (18 - 4 x^{2} + 9 x)

規則を適用する:

(a) = a

(10 x - 12 - 3 x^{2}) = 10 x - 12 - 3 x^{2}

= 10 x - 12 - 3 x^{2} - (18 - 4 x^{2} + 9 x)

分配法則を適用する:

- (a - b) = - a + b

- (18 - 4 x^{2} + 9 x) = - 18 + 4 x^{2} - 9 x

= 10 x - 12 - 3 x^{2} - 18 + 4 x^{2} - 9 x

条件のようなグループ

= - 3 x^{2} + 4 x^{2} + 10 x - 9 x - 12 - 18

類似した元を足す:

- 3 x^{2} + 4 x^{2} = x^{2}

= x^{2} + 10 x - 9 x - 12 - 18

類似した元を足す:

10 x - 9 x = x

= x^{2} + x - 12 - 18

数を引く:

- 12 - 18 = - 30

= x^{2} + x - 30