问题 计算题

化简:

(1)2(2a﹣3b)+3(2b﹣3a)

(2)2(x2﹣xy)﹣3(2x2﹣3xy)﹣2[x2﹣(2x2﹣xy+y2)]

答案

解:

(1)2(2a﹣3b)+3(2b﹣3a)

=4a﹣6b+6b﹣9a

=﹣5a;

(2)2(x2﹣xy)﹣3(2x2﹣3xy)﹣2[x2﹣(2x2﹣xy+y2)]

=2x2﹣2xy﹣6x2+9xy﹣2x2+4x2﹣2xy+2y2

=(2x2﹣6x2﹣2x2+4x2)+(﹣2xy+9xy﹣2xy)+2y2

=﹣2x2+5xy+2y2

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