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受欢迎的代数 >

化简 (0.5a-0.6b+5.5)-(-0.5a+0.4b)+(1.3b-4.5)

解答

化简

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5)

解答

a + 0.3 b + 1

求解步骤

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5)

化简

(0.5 a - 0.6 b + 5.5) - (- 0.5 a + 0.4 b) + (1.3 b - 4.5) : 0.5 a - 0.6 b + 5.5 - (- 0.5 a + 0.4 b) + 1.3 b - 4.5

= 0.5 a - 0.6 b + 5.5 - (- 0.5 a + 0.4 b) + 1.3 b - 4.5

对同类项分组

= - (- 0.5 a + 0.4 b) + 0.5 a - 0.6 b + 1.3 b + 5.5 - 4.5

同类项相加:

- 0.6 b + 1.3 b = 0.7 b

= - (- 0.5 a + 0.4 b) + 0.5 a + 0.7 b + 5.5 - 4.5

数字相减:

5.5 - 4.5 = 1

= - (- 0.5 a + 0.4 b) + 0.5 a + 0.7 b + 1

使用分配律:

- (- a + b) = a - b

- (- 0.5 a + 0.4 b) = 0.5 a - 0.4 b

= 0.5 a - 0.4 b + 0.5 a + 0.7 b + 1

对同类项分组

= 0.5 a + 0.5 a - 0.4 b + 0.7 b + 1

同类项相加:

0.5 a + 0.5 a = a

= a - 0.4 b + 0.7 b + 1

同类项相加:

- 0.4 b + 0.7 b = 0.3 b

= a + 0.3 b + 1

流行的例子

x^{2} + 6 x = 14

14 m^{2} - 12 m = 0

710=83+0.003p^2

710 = 83 + 0.003 p^{2}

因式分解 3r^2-14r+8

f a c t or 3 r^{2} - 14 r + 8

x^{2} + 1 = 4 x