簡約 (3-13x-7x^2)-(5x^2+12x-10)

解

簡約

(3 - 13 x - 7 x^{2}) - (5 x^{2} + 12 x - 10)

- 12 x^{2} - 25 x + 13

解答ステップ

(3 - 13 x - 7 x^{2}) - (5 x^{2} + 12 x - 10)

規則を適用する:

(a) = a

(3 - 13 x - 7 x^{2}) = 3 - 13 x - 7 x^{2}

= 3 - 13 x - 7 x^{2} - (5 x^{2} + 12 x - 10)

分配法則を適用する:

- (a + b) = - a - b

- (5 x^{2} + 12 x - 10) = - 5 x^{2} - 12 x + 10

= 3 - 13 x - 7 x^{2} - 5 x^{2} - 12 x + 10

類似した元を足す:

- 7 x^{2} - 5 x^{2} = - 12 x^{2}

= 3 - 13 x - 12 x^{2} - 12 x + 10

条件のようなグループ

= - 12 x^{2} - 13 x - 12 x + 3 + 10

類似した元を足す:

- 13 x - 12 x = - 25 x

= - 12 x^{2} - 25 x + 3 + 10

数を足す:

3 + 10 = 13

= - 12 x^{2} - 25 x + 13