问题
解答题
一次多项式加上3x2y-3xy2得x3-3x2y,求这个多项式减去3x2y-3xy2的差.
答案
根据题意列得:(x3-3x2y)-(3x2y-3xy2)=x3-3x2y-3x2y+3xy2=x3-6x2y+3xy2,
则所求的差为(x3-6x2y+3xy2)-(3x2y-3xy2)=x3-6x2y+3xy2-3x2y+3xy2=x3-9x2y+6xy2.
一次多项式加上3x2y-3xy2得x3-3x2y,求这个多项式减去3x2y-3xy2的差.
根据题意列得:(x3-3x2y)-(3x2y-3xy2)=x3-3x2y-3x2y+3xy2=x3-6x2y+3xy2,
则所求的差为(x3-6x2y+3xy2)-(3x2y-3xy2)=x3-6x2y+3xy2-3x2y+3xy2=x3-9x2y+6xy2.