一、计算 (1)x^2(x^2-x-1)-x(x^2-3x) (2) (2m+3)(m-2)-(1-2m)(3-m) (3) (1-a)(1+a^2)(1+a)(1+a^4)

问题描述:

一、计算 (1)x^2(x^2-x-1)-x(x^2-3x) (2) (2m+3)(m-2)-(1-2m)(3-m) (3) (1-a)(1+a^2)(1+a)(1+a^4)

(1)原式=x^4-x^3-x^2-x^3+3x^2
=x^4-2x^3-2x^2
(2)原式=2m^2-4m+3m-6-3+m+6m-2m^2
=6m-9
(3)原式=(1-a)(1+a)(1+a^2)(1+a^4)
=(1-a^2)(1+a^2)(1+a^4)
=(1-a^4)(1+a^4)
=(1-a^8)