计算下列多项式的值:(1)a2-2ab+b2,其中a=-2,b=2 (2) x3-3x2y+3xy2-y3,其中x=2分之1,y=2分之1
问题描述:
计算下列多项式的值:(1)a2-2ab+b2,其中a=-2,b=2 (2) x3-3x2y+3xy2-y3,其中x=2分之1,y=2分之1
答
1)a2-2ab+b2=(a-b)²=(-2-2)²=16(2) x3-3x2y+3xy2-y3,=x³-y³-3xy(x-y)=(x-y)(x²+xy+y²)-3xy(x-y)=(x-y)(x²+xy+y²-3xy)=(x-y)(x²-2xy+y²)=(x-y)³=(1/2-1/2)...