问题
计算题
计算:
(1)7(m3+m2﹣m﹣1)﹣3(m3+m)
(2)(x﹣3)(x+3)(x2﹣9).
(3)[(x+y)2﹣(x﹣y)2﹣4x2y2]÷(2xy)
(4)(﹣x+y)2
答案
解:(1)7(m3+m2﹣m﹣1)﹣3(m3+m),
=7m3+7m2﹣7m﹣7﹣3m3﹣3m,
=4m3+7m2﹣10m﹣7;
(2)(x﹣3)(x+3)(x2﹣9),
=(x2﹣9)(x2﹣9),
=x4﹣18x2+81;
(3)[(x+y)2﹣(x﹣y)2﹣4x2y2]÷(2xy),
=[(x+y+x﹣y)(x+y﹣x+y)﹣4x2y2]÷2xy,
=(4xy﹣4x2y2)÷2xy,
=2﹣2xy;
(4)(﹣x+y)2
=(y﹣x)2
=x2﹣2xy+y2.