因式分解 1.x^6-y^6-2x^3+1 2.x^4+64 3.(x-3)(x-1)(x+2)(x+4)+24 4.(6x-1)(2x-1)(3x-1)(x-1)+x^2
问题描述：
因式分解 1.x^6-y^6-2x^3+1 2.x^4+64 3.(x-3)(x-1)(x+2)(x+4)+24 4.(6x-1)(2x-1)(3x-1)(x-1)+x^2
答
1、原式=(x^6-2x³+1)-y^6=(x³-1)²-(y³)²=(x²+y²-1)(x³-y³-1)2.X^4+64=x^4+2^6=x^4+4×(2^4)=[x^4+4x²×2²+4×(2^4)]-4x²×2²=(x²+2×2²...