先化简再求值:(m+1)²-5(m+1)(m-1)+3(m-1)²,其中m=-2

2024-12-26 21:16:00
推荐回答(3个)
回答1:

先化简再求值:(m+1)²-5(m+1)(m-1)+3(m-1)²,其中m=-2
(m+1)²-5(m+1)(m-1)+3(m-1)²
=((m+1)²-4(m+1)(m-1)+3(m-1)²)-(m+1)(m-1)
=((m+1)-(m-1))((m+1)-3(m-1))-(m+1)(m-1)
=2(m+1-3m+3)-(m+1)(m-1)
=2(4-2m)-(m²-1)
=8-4m-m²+1
=9-4m-m²
=9+4*2-4
=13

回答2:

简化后得-m^2-4m+9
结果是13
小弟弟是初中生吧,好好学习

回答3:

先化简再求值:(m+1)²-5(m+1)(m-1)+3(m-1)²,其中m=-2
解:原式=m^2+1+2m-5(m^2-1)+3(m^2+1-2m)
=m^2+1+2m-(5m^2-5)+3m^2+3-6m
=m^2+1+2m-5m^2+5+3m^2+3-6m
=-m^2-4m+9
当m=-2时,原式=-(-2)^2-4*(-2)+9
=-4+8+9
=13