-12xy×3x²-x²y×(-3xy)

问题描述:

-12xy×3x²-x²y×(-3xy)

韦达定理
x1+x2=(a-1)/2
x1x2=(a+1)/2
假设x1>x2
则x1-x2=1
所以(x1-x2)²=1
x1²-2x1x+x2²=x1²+2x1x2+x2²-4x1x2=1
(x1+x2)²-4x1x2=1
(a-1)²/4-2a-2=1
a²-10a-11=0
(a-11)(a+1)=0
a=11,a=-1

原式=-36x³y+3x³y²