若m²+m-1=0,则m³+2m²+3的值为___.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/10 17:56:59
若m²+m-1=0,则m³+2m²+3的值为___.若m²+m-1=0,则m³+2m²+3的值为___.若m²+m-1=0,则m&

若m²+m-1=0,则m³+2m²+3的值为___.
若m²+m-1=0,则m³+2m²+3的值为___.

若m²+m-1=0,则m³+2m²+3的值为___.
m²+m-1=0 m²+m=0
m³+2m²+3
=m(m²+2m)+3
=m(m²+m+m)+3
=m(1+m)+3
=m+m²+3
=1+3
4