设x-2的绝对值+(y+1/4)平方=0,试求代数式x²(x²-xy+y)-x(x³-2x²y+xy-1)的值
问题描述:
设x-2的绝对值+(y+1/4)平方=0,试求代数式x²(x²-xy+y)-x(x³-2x²y+xy-1)的值
答
即x-2=y+1/4=0
x=2,y=-1/4
所以原式=x^4-x³y+x²y-x^4+2x³y-x²y+x
=x³y+x
=8*(-1/4)+2
=-2+2
=0