计算或化简:①;②;③;④﹣12006﹣(1﹣0.5)×[3﹣(﹣3)2];⑤3x2y﹣4xy2﹣3+5x2y+2xy2+5;⑥3(2x2﹣y2)﹣2(3y2﹣2x2);⑦先化简再求值:﹣2y3+(2
计算或化简:①;②;③;④﹣12006﹣(1﹣0.5)×[3﹣(﹣3)2];⑤3x2y﹣4xy2﹣3+5x2y+2xy2+5;⑥3(2x2﹣y2)﹣2(3y2﹣2x2);⑦先化简再求值:﹣2y3+(2x3﹣xyz)﹣2(x3﹣y3+xyz),其中x=1,y=2,z=﹣3.
解:①原式=﹣﹣﹣=﹣1;②原式=4﹣(﹣2)×3×(﹣3)=4﹣18=﹣14;③原式=﹣÷(﹣)=;④原式=﹣1﹣××(﹣6)=﹣1+1=0;⑤原式=8x2y﹣2xy2+2;⑥原式=6x2﹣3y2﹣6y2+4x2=10x2﹣9y2;⑦原式=﹣2y3+2x3﹣xyz﹣2x3+2y3﹣2xyz=﹣3xyz;当x=1,y=2,z=﹣3时,原式=﹣3×1×2×(﹣3)=18.
题目简介
计算或化简:①;②;③;④﹣12006﹣(1﹣0.5)×[3﹣(﹣3)2];⑤3x2y﹣4xy2﹣3+5x2y+2xy2+5;⑥3(2x2﹣y2)﹣2(3y2﹣2x2);⑦先化简再求值:﹣2y3+(2
题目详情
计算或化简:
;
;
;
[3﹣(﹣3)2];
①
②
③
④﹣12006﹣(1﹣0.5)×
⑤3x2y﹣4xy2﹣3+5x2y+2xy2+5;
⑥3(2x2﹣y2)﹣2(3y2﹣2x2);
⑦先化简再求值:﹣2y3+(2x3﹣xyz)﹣2(x3﹣y3+xyz),其中x=1,y=2,z=﹣3.
答案
解:①原式=
﹣
﹣
﹣![]()
÷(﹣
)
;
×
×(﹣6)
=﹣1;
②原式=4﹣(﹣2)×3×(﹣3)
=4﹣18
=﹣14;
③原式=﹣
=
④原式=﹣1﹣
=﹣1+1
=0;
⑤原式=8x2y﹣2xy2+2;
⑥原式=6x2﹣3y2﹣6y2+4x2
=10x2﹣9y2;
⑦原式=﹣2y3+2x3﹣xyz﹣2x3+2y3﹣2xyz
=﹣3xyz;
当x=1,y=2,z=﹣3时,原式=﹣3×1×2×(﹣3)=18.