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.

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