计算题:2(m+1)^2-3(m+1)(m-1)+5(m-i)^2

问题描述:

计算题:2(m+1)^2-3(m+1)(m-1)+5(m-i)^2

原式=2(m+1)²-3(m+1)(m-1)+5(m-1)²
=2(m²+2m+1)-3(m²-1)+5(m²-2m+1)
=2m²+4m+2-3m²+3+5m²-10m+5
=4m²-6m+10

原式=2(m+1)²-3(m+1)(m-1)+5(m-1)²=2(m+1)²+(m-1)(5m-5-3m-3)=2(m²+2m+1)+2(m-1)(m-4)=2(m²+2m+1+m²-5m+4)=2(2m²-3m+5)=4m²-6m+10