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

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