展开-3(a+5)(a+3)'

解答

展开

- 3 (a + 5) (a + 3)^{'}

- 3 a (a + 3)' - 15 (a + 3)'

求解步骤

- 3 (a + 5) (a + 3)^{'}

使用分配律:

a (b + c) = ab + a c

a = - 3 (a + 3)^{'}, b = a, c = 5

= - 3 (a + 3)^{^{'}} a + (- 3 (a + 3)^{^{'}}) \cdot 5

使用加减运算法则

+ (- a) = - a

= - 3 a (a + 3)^{^{'}} - 3 \cdot 5 (a + 3)^{^{'}}

数字相乘:

3 \cdot 5 = 15

= - 3 a (a + 3)^{^{'}} - 15 (a + 3)^{^{'}}

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