展开 (12x^{(3)}+6x^{(2)}-2x+3)dx

解答

展开

(12 x^{(3)} + 6 x^{(2)} - 2 x + 3) d x

12 x^{3} d x + 6 x^{2} d x - 2 x d x + 3 d x

求解步骤

(12 x^{(3)} + 6 x^{(2)} - 2 x + 3) d x

打开括号

= d x \cdot 12 x^{(3)} + d x \cdot 6 x^{(2)} + d x (- 2 x) + d x \cdot 3

使用加减运算法则

+ (- a) = - a

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

去除括号:

(a) = a

= 12 x^{3} d x + 6 x^{2} d x - 2 x d x + 3 d x

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