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受欢迎的代数 >

化简 (2x^3-3x^2+5x-1)-(x^2+1-3x)

解答

化简

(2 x^{3} - 3 x^{2} + 5 x - 1) - (x^{2} + 1 - 3 x)

解答

2 x^{3} - 4 x^{2} + 8 x - 2

求解步骤

(2 x^{3} - 3 x^{2} + 5 x - 1) - (x^{2} + 1 - 3 x)

使用法则:

(a) = a

(2 x^{3} - 3 x^{2} + 5 x - 1) = 2 x^{3} - 3 x^{2} + 5 x - 1

= 2 x^{3} - 3 x^{2} + 5 x - 1 - (x^{2} + 1 - 3 x)

使用分配律:

- (a + b) = - a - b

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

= 2 x^{3} - 3 x^{2} + 5 x - 1 - x^{2} - 1 + 3 x

对同类项分组

= 2 x^{3} - 3 x^{2} - x^{2} + 5 x + 3 x - 1 - 1

同类项相加:

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

= 2 x^{3} - 4 x^{2} + 5 x + 3 x - 1 - 1

同类项相加:

5 x + 3 x = 8 x

= 2 x^{3} - 4 x^{2} + 8 x - 1 - 1

数字相减:

- 1 - 1 = - 2

= 2 x^{3} - 4 x^{2} + 8 x - 2

流行的例子

化简 3x-5+23x-9

s im pl i f y 3 x - 5 + 23 x - 9

展开 (5m^2+2n^5)^3

e x p an d (5 m^{2} + 2 n^{5})^{3}

s im pl i f y \frac{1}{3} - \frac{2}{9}

因式分解 x^6-36

f a c t or x^{6} - 36

\frac{100}{12}