zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

化简 (x-1)(x-2)-(x-3)(x-4)+(x+5)(x+6)

解答

化简

(x - 1) (x - 2) - (x - 3) (x - 4) + (x + 5) (x + 6)

解答

x^{2} + 15 x + 20

求解步骤

(x - 1) (x - 2) - (x - 3) (x - 4) + (x + 5) (x + 6)

展开

(x - 1) (x - 2) : x^{2} - 3 x + 2

= x^{2} - 3 x + 2 - (x - 3) (x - 4) + (x + 5) (x + 6)

展开

- (x - 3) (x - 4) : - x^{2} + 7 x - 12

= x^{2} - 3 x + 2 - x^{2} + 7 x - 12 + (x + 5) (x + 6)

展开

(x + 5) (x + 6) : x^{2} + 11 x + 30

= x^{2} - 3 x + 2 - x^{2} + 7 x - 12 + x^{2} + 11 x + 30

对同类项分组

= x^{2} - x^{2} + x^{2} - 3 x + 7 x + 11 x + 2 - 12 + 30

同类项相加:

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

= x^{2} - 3 x + 7 x + 11 x + 2 - 12 + 30

同类项相加:

- 3 x + 7 x + 11 x = 15 x

= x^{2} + 15 x + 2 - 12 + 30

数字相加:

2 - 12 + 30 = 20

= x^{2} + 15 x + 20

流行的例子

化简 (2a^5+4b^3)3

s im pl i f y (2 a^{5} + 4 b^{3}) 3

化简 (x/(3+1))^2

s im pl i f y (\frac{x}{3 + 1})^{2}

化简 ((x+1)/(x-1))^2

s im pl i f y (\frac{x + 1}{x - 1})^{2}

化简 3x-(3x-2)

s im pl i f y 3 x - (3 x - 2)

化简 (-3a^2*b)^2*(1/(9*a^2*b^3))^4

s im pl i f y (- 3 a^{2} \cdot b)^{2} \cdot (\frac{1}{9 \cdot a ^{2} \cdot b ^{3}})^{4}