问题
计算题
化简求值:
①(2x2y﹣4xy2)﹣(﹣3xy2+x2y),其中x=﹣1,y=2.
②已知A=x2﹣xy+y2,B=﹣x2+2xy+y2,求:当x=2010,y=﹣1时,A+B的值.
答案
解:①原式=2x2y﹣4xy2+3xy2﹣x2y,
=x2y﹣xy2,
当x=﹣1,y=2时,
原式=(﹣1)2×2﹣(﹣1)×22=2+4,
=6;
②A+B=(x2﹣xy+y2)+(﹣x2+2xy+y2),
=x2﹣xy+y2﹣x2+2xy+y2,
=xy+2y2,
当x=2010,y=﹣1时,
原式=2010×(﹣1)+2×(﹣1)2,
=﹣2010+2,
=﹣2008.