因式分解a2x2+b2y2-2ax-2by+2abxy,x3+6x2+11x+6.x2+6xy+9y2-16x-48y-

a2x2+b2y2-2ax-2by+2abxy=(a2x2+2abxy+b2y2)-(2ax+2by)=(ax+by)^2-2(ax+by)=(ax+by)(ax+by-2)x3+6x2+11x+6=x^3+x^2+5x^2+5x+6x+6=x^2(x+1)+5x(x+1)+6(x+1)=(x+1)(x^2+5x+6)=(x+1)(x+2)(x+3)x2+6xy+9y2-16x-48y-36 =(x^2+6xy+9y^2)-(16x+48y)-36=(x+3y)^2-16(x+3y)-36=(x+3y+2)(x+3y-18)