分解因式(1)4a(1-b)^3+2(b-1)^2 (2)16x^2-y^2-4y-4 (3)2(ax+by)(by-ax)-(ax+by)^2-(by-ax)^2
问题描述：
分解因式(1)4a(1-b)^3+2(b-1)^2 (2)16x^2-y^2-4y-4 (3)2(ax+by)(by-ax)-(ax+by)^2-(by-ax)^2
答
(1)4a(1-b)^3+2(b-1)^2 =2(1-b)²[2a(1-b)+1]=2(1-b)²(2a-2ab+1)(2)16x^2-y^2-4y-4 =16x²-(y+2)²=(4x+y+2)(4x-y-2)(3)2(ax+by)(by-ax)-(ax+by)^2-(by-ax)^2 =-[(ax+by)-(by-ax)]²=-(2ax)&su...已知m(m-1)-(m^2-n)=6求m^2+n^2/2-mn的值m(m-1)-(m^2-n)=6则m²-m-m²+n=6则m-n=-6m^2+n^2/2-mn=m^2+n^2-2mn/2=(m-n)²/2=(-6)²/2=18