问题
计算题
先化简,再求值x2+(2xy﹣3y2)﹣2(x2+yx﹣2y2),其中x=﹣1,y=2.
答案
解:x2+(2xy﹣3y2)﹣2(x2+yx﹣2y2),
=x2+2xy﹣3y2﹣2x2﹣2yx+4y2,
=﹣x2+y2,
当x=﹣1,y=2时,原式=﹣(﹣1)2+22=﹣1+4=3.
先化简,再求值x2+(2xy﹣3y2)﹣2(x2+yx﹣2y2),其中x=﹣1,y=2.
解:x2+(2xy﹣3y2)﹣2(x2+yx﹣2y2),
=x2+2xy﹣3y2﹣2x2﹣2yx+4y2,
=﹣x2+y2,
当x=﹣1,y=2时,原式=﹣(﹣1)2+22=﹣1+4=3.