问题
解答题
化简:
(1)(5a2+2a)-4(2+2a2);
(2)5x2(x+1)(x-1);
(3)(x+3y)2-(2x+y)(x-y);
(4)4(m+1)2-(2n+5)(2m-5).
答案
(1)(5a2+2a)-4(2+2a2),
=5a2+2a-8-8a2,
=-3a2+2a-8;
(2)5x2(x+1)(x-1),
=5x2(x2-1),
=5x4-5x2.
(3)(x+3y)2-(2x+y)(x-y),
=x2+6xy+9y2-2x2+2xy-xy+y2,
=-x2+8xy+10y2;
(4)4(m+1)2-(2n+5)(2m-5),
=4m2+8m+4-4mn+10n-10m+25,
=4m2-4mn-2m+10n+29.