展开 q(200-200q-bq)^2

解答

展开

q (200 - 200 q - b q)^{2}

- 400 q^{2} b + 400 q^{3} b + q^{3} b^{2} - 80000 q^{2} + 40000 q^{3} + 40000 q

求解步骤

q (200 - 200 q - b q)^{2}

(200 - 200 q - b q)^{2} = - 400 q b + 400 q^{2} b + q^{2} b^{2} - 80000 q + 40000 q^{2} + 40000

= q (400 q^{2} b + q^{2} b^{2} + 40000 q^{2} - 400 q b - 80000 q + 40000)

打开括号

= q (- 400 q b) + q \cdot 400 q^{2} b + q q^{2} b^{2} + q (- 80000 q) + q \cdot 40000 q^{2} + q \cdot 40000

使用加减运算法则

+ (- a) = - a

= - 400 qq b + 400 q^{2} q b + q^{2} q b^{2} - 80000 qq + 40000 q^{2} q + 40000 q

化简

- 400 qq b + 400 q^{2} q b + q^{2} q b^{2} - 80000 qq + 40000 q^{2} q + 40000 q : - 400 q^{2} b + 400 q^{3} b + q^{3} b^{2} - 80000 q^{2} + 40000 q^{3} + 40000 q

= - 400 q^{2} b + 400 q^{3} b + q^{3} b^{2} - 80000 q^{2} + 40000 q^{3} + 40000 q

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