问题 解答题
计算:
(1)(-3x2y3z)3÷9x3y5÷x3-(-3x2y)2
(2)化简求值:(x-2)(x2-6x-9)-x(x-3)(x-5),其中x=
1
3
答案

(-3x2y3z)3÷9x3y5÷x3•(-3x2y)2

=-27x6y9z3÷9x3y5÷x3•9x4y2

=-3x3y4z3÷x3•9x4y2

=-3y4z3•9x4y2

=-27x4y6z3

(2)(x-2)(x2-6x-9)-x(x-3)(x-5)

=x3-6x2-9x-2x2+12x+18-x(x2-8x+15)

=x3-8x2+3x+18-x3+8x2-15x

=-12x+18,

当x=

1
3
时,原式=-12×
1
3
+18=-4+18=14.

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