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.