因式分解(1-2x)^2(1+2x+4x^2)-(1+8x^3)^2
问题描述:
因式分解(1-2x)^2(1+2x+4x^2)-(1+8x^3)^2
答
=(1-2x)(1-8x^3)-(1+8x^3)^2=16x^4-8x^3-2x+1-(64x^6+16x^3+1)=-64x^6+16x^4-24x^3-2x=-2x(32x^5-8x^3+12x^2+1)