一、x的立方+6倍的x的平方+11x+6
x^3+6x^2+11x+6
=x^3+6x^2+9x+2x+6
=x(x^2+6x+9)+2(x+3)
=x(x+3)^2+2(x+3)
=(x+3)[x(x+3)+2]
=(x+3)(x^2+3x+2)
=(x+3)(x+2)(x+1)
二、x的立方-39x-70
x^3-39x-70
=x^3-39x-78+8
=x^3+8-39(x+2)
=(x+2)(x^2-2x+4)-39(x+2)
=(x+2)(x^2-2x-35)
=(x+2)(x-7)(x+5)
三、2倍的x的平方+xy-6倍的y的平方-x-16y-10
2x^2+xy-6y^2-x-16y-10
=(2x-3y)(x+2y)-(x+16y)-10
=(2x-3y)(x+2y)-[5(x+2y)-2(2x-3y)]-10
=(2x-3y-5)(x+2y+2)