若y2=2x-a,则4x2-4ax-4xy2+2ay2+y4+a2-1=________.
网友回答
-1
解析分析:本题先把y2提取出来,然后再把y2=2x-a代入,再进行合并即可求出结果.
解答:4x2-4ax-4x2y+2ay2+y4+a2-1
=4x2-4ax-4x2y+y2(2a+y2)+a2-1
=4x2-4ax-4x2y+(2x-a)(2a+2x-a)+a2-1
=4x2-4ax-4x2y+4x2-a2+a2-1
=8x2-4ax-4xy2-1
=4xy2-4xy2-1
=-1.
故