问题 解答题

先化简,再求值:

(1)-3y2-6y+2y2+5y,其中y=2;

(2)15a2[-4a2+(6a-a2)-3a],其中a=-2;

(3)(3xy+10y)+[5x-(2xy+2y-3x)],其中xy=2,x+y=3.

答案

(1)-3y2-6y+2y2+5y

=-y2-y

当y=2时,原式=-22-2=-4-2=-6;

(2)15a2[-4a2+(6a-a2)-3a]

=15a2[-4a2+6a-a2-3a]

=15a2[-5a2+3a]

=-75a4+45a3

当a=-2时,原式=-75×(-2)4+45×(-2)3=-1560;

(3)(3xy+10y)+[5x-(2xy+2y-3x)]

=3xy+10y+5x-2xy-2y+3x

=xy+8y+8x,

=xy+8(x+y)

当xy=2,x+y=3时,原式=2+8×3=26.

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