问题 解答题

计算:

(1)(3x2-4x+1)(3x2+4x+1);

(2)(x-2)(x4+16)(x+2)(x2+4)

答案

(1)原式=[(3x2+1)-4x][(3x2+1)+4x]

=(3x2+1)2-(4x)2

=9x4+6x2+1-16x2

=9x4-10x2+1;

(2)原式=(x-2)(x+2)(x2+4))(x4+16)

=(x2-4)(x2+4)(x4+16)

=(x4-16)(x4+16)

=x8-256.

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