展开 A(s(s-3)^2)

解答

展开

A (s (s - 3)^{2})

A s^{3} - 6 A s^{2} + 9 A s

求解步骤

A (s (s - 3)^{2})

去除括号:

(a) = a

= A s (s - 3)^{2}

(s - 3)^{2} = s^{2} - 6 s + 9

= A s (s^{2} - 6 s + 9)

打开括号

= A s s^{2} + A s (- 6 s) + A s \cdot 9

使用加减运算法则

+ (- a) = - a

= A s^{2} s - 6 A ss + 9 A s

化简

A s^{2} s - 6 A ss + 9 A s : A s^{3} - 6 A s^{2} + 9 A s

= A s^{3} - 6 A s^{2} + 9 A s

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