问题 计算题

计算:①(2x2y+2x+4)﹣2(x2y+2)

②(x﹣y+1)(x+y+1)

③(x﹣y)2(x2+y22(x+y)2

④[(ab+3)(ab﹣3)﹣7a2b2+9]÷(﹣2ab)

答案

解:①(2x2y+2x+4)﹣2(x2y+2),

=2x2y+2x+4﹣2x2y﹣4,

=2x;

②(x﹣y+1)(x+y+1),

=[(x+1)﹣y][(x+1)+y],

=(x+1)2﹣y2

=x2+2x+1﹣y2

③(x﹣y)2(x2+y22(x+y)2

=(x﹣y)2(x+y)2(x2+y22

=(x2﹣y22(x2+y22

=(x4﹣y42

=x8﹣2x4y4+y8

④[(ab+3)(ab﹣3)﹣7a2b2+9]÷(﹣2ab),

=(a2b2﹣9﹣7a2b2+9)÷(﹣2ab),

=﹣6a2b2÷(﹣2ab),

=3ab.

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