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+y2)2(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+y2)2(x+y)2,
=(x﹣y)2(x+y)2(x2+y2)2,
=(x2﹣y2)2(x2+y2)2,
=(x4﹣y4)2
=x8﹣2x4y4+y8;
④[(ab+3)(ab﹣3)﹣7a2b2+9]÷(﹣2ab),
=(a2b2﹣9﹣7a2b2+9)÷(﹣2ab),
=﹣6a2b2÷(﹣2ab),
=3ab.