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(1)613+(-4.6)+(-25)-2.3-(-23)(2)4−(−123)÷13×(−35)(3)[6×(−23)2−52×(−223)]÷(−6)2(4)(xy2-x2y)-(2x2y-3xy2)(5)先化简再求值:-2y3+(2x3-xyz)-2(x3-y3+xyz),其中x=1,y=-2,z=-3.

题目详情
(1)6
1
3
+(-4.6)+(-
2
5
)-2.3-(-
2
3

(2)4−(−1
2
3
1
3
×(−
3
5
)
(3)[6×(−
2
3
)2−52×(−
22
3
)]÷(−6)2
(4)(xy2-x2y)-(2x2y-3xy2
(5)先化简再求值:-2y3+(2x3-xyz)-2(x3-y3+xyz),其中x=1,y=-2,z=-3.
▼优质解答
答案和解析
(1)原式=6
1
3
-4.6-
2
5
-2.3+
2
3

=(6
1
3
+
2
3
)-(4.6+0.4+2.3)
=7-7.3
=-0.3;

(2)原式=4-
5
3
×3×
3
5

=4-3
=1;

(3)原式=(6×
4
9
+25×
4
3
)×
1
36

=36×
1
36

=1;

(4)原式=xy2-x2y-2x2y+3xy2
=4xy2-3x2y;

(5)原式=-2y3+2x3-xyz-2x3+2y3-2xyz
=-3xyz,
当x=1,y=-2,z=-3时,原式=-3×1×(-2)×(-3)=-18.