3x^3+6x^2 =3x^2(x+2)为什么填“3x^2”要详细解释啊有过程更好?
问题描述:
3x^3+6x^2 =3x^2(x+2)为什么填“3x^2”要详细解释啊有过程更好?
答
设要填的值为Y,则有:
3X^3+6X^2=Y(X+2),从而,有:
Y=(3X^3+6X^2)/(X+2)=(3X^2*X+3X^2*2)/(X+2)=3X^2(X+2)/(X+2)=3X^2
所以要填的数值Y就是3X^2