化简求值:(1)(x 2 +3x)(x-3)-x(x-2) 2 +(-x-y)(y-x)其中x=3,y=-2.(2)已知 x= 1 6

2025-05-12 14:05:00
推荐回答(1个)
回答(1):

(1)原式=x 3 -3x 2 +3x 2 -9x-x(x 2 -4x+4)+x 2 -y 2
=5x 2 3x-y 2
当x=3,y=-2时,原式=5×9-13×3-4=2;

(2)(2x+3y) 2 -(2x-3y) 2
=(2x+3y+2x-3y)(2x+3y-2x+3y),
=24xy
∴当 x=
1
6
,y=
1
8
时,原式=24×
1
6
×
1
8
=
1
2