问题
解答题
(1)试说明:代数式(a3-3a-3+a2)-(4a2+2a3+a-8)+(-1+4a+3a2+a3)的值与a的取值无关; (2)化简求值:已知A=3x2+3y2-5xy,B=2xy-3y2+4x2.当x=3,y=
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答案
(1)原式=a3-3a-3+a2-4a2-2a3-a+8-1+4a+3a2+a3=4,结果与x的取值无关;
(2)∵A=3x2+3y2-5xy,B=2xy-3y2+4x2,
∴2A-2B=2(A-B)=2(3x2+3y2-5xy-2xy+3y2-4x2)=2(-x2+6y2-7xy)=-2x2+12y2-14xy,
当x=3,y=
时,原式=-18+1 3
-14=-304 3
.2 3