问题
解答题
计算:(-2x-3y)2-(x-2y+3)(x-2y-3)-9,并将结果按字母x升幂排列.
答案
原式=4x2+12xy+9y2-[(x-2y)2-9]-9
=4x2+12xy+9y2-(x2-4xy+4y2-9)-9
=4x2+12xy+9y2-x2+4xy-4y2+9-9
=3x2+16xy+5y2
=5y2+16xy+3x2 .
计算:(-2x-3y)2-(x-2y+3)(x-2y-3)-9,并将结果按字母x升幂排列.
原式=4x2+12xy+9y2-[(x-2y)2-9]-9
=4x2+12xy+9y2-(x2-4xy+4y2-9)-9
=4x2+12xy+9y2-x2+4xy-4y2+9-9
=3x2+16xy+5y2
=5y2+16xy+3x2 .