几道因式分解的题目
问题描述:
几道因式分解的题目
(a-b)3+(a+b)3-8a3
(x+y+z)3+93x-2y-3z)3-(4x-y-2z)3
a4+b4+c4-2a2b2-2b2c2-2c2a2
答
(a-b)3+(a+b)3-8a3 =2a^3+6ab^2-8a^3=6ab^2-6a^3=6a(b^2-a^2)=6a(b+a)(b-a)(x+y+z)3+(3x-2y-3z)3-(4x-y-2z)3 =(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2]-(4x-y-2z)3=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2...