计算: (1)x2-(x3y-2x2y2)﹢xy (2)(1-1/2)×(1+1/2)×(1+1/4)×(1+1/16) (3)(2x-3y)2-(y+3x)(3x-y) (4)(2a3b2-4a4b3+6a5b4)÷(-2a3b2)

问题描述:

计算:
(1)x2-(x3y-2x2y2)﹢xy
(2)(1-

1
2
)×(1+
1
2
)×(1+
1
4
)×(1+
1
16

(3)(2x-3y)2-(y+3x)(3x-y)
(4)(2a3b2-4a4b3+6a5b4)÷(-2a3b2

(1)原式=x2-x3y+2x2y2+xy;
(2)原式=(1-

1
4
)×(1+
1
4
)×(1+
1
16
)=(1-
1
16
)(1+
1
16
)=1-
1
256
=
255
256

(3)原式=4x2-12xy+9y2-9x2+y2=-5x2-12xy+10y2
(4)原式=-1+2ab-3a2b2