已知m²+n²=5,试求代数式(5+2m²+3n²-mn)-(4m²+5n²-mn)的值

问题描述:

已知m²+n²=5,试求代数式(5+2m²+3n²-mn)-(4m²+5n²-mn)的值

原式=5+2m²+3n²-mn-4m²-5n²+mn
=-2m²-2n²+5
=-2(m²+n²)+5
=-10+5
=-5