问题 计算题

计算:(1)(2x﹣3y)2﹣(y+3x)(3x﹣y)

(2)(2+1)(22+1)(24+1)(28+1)﹣216

答案

解:(1)(2x﹣3y)2﹣(y+3x)(3x﹣y)

=4x2﹣12xy+9y2﹣(9x2﹣y2

=4x2﹣12xy+9y2﹣9x2+y2

=﹣5x2﹣12xy+10y2

(2)(2+1)(22+1)(24+1)(28+1)﹣216

=(2﹣1)(2+1)(22+1)(24+1)(28+1)﹣216

=(216﹣1)﹣216

=216﹣1﹣216

=﹣1

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