问题 解答题

化简求值:

(1)3a(2a2-4a+3)-2a2(3a+4),其中a=-1.

(2)[(x-y)2+(x+y)(x-y)]÷2x,其中x=3,y=-1.5.

答案

(1)3a(2a2-4a+3)-2a2(3a+4),

=6a3-12a2+9a-6a3-8a2

=-20a2+9a,

当a=-1时时,原式=-20×(-1)2+9×(-1),

=-20-9,

=-29;

(2)[(x-y)2+(x+y)(x-y)]÷2x,

=(x2-2xy+y2+x2-y2)÷2x,

=(2x2-2xy)÷2x,

=x-y,

当x=3,y=-1.5时,原式=3-(-1.5)=4.5.

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