已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)的值

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已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)的值

已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)的值
已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)的值

已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)的值
(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)=5-2(m^2+n^2)=5-2*5=-5

已知m^2+n^2=5,试求代数式(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)= -5
(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)=5 - 2 m^2 - 2 n^2= 5-2(m^2+n^2)=5-10=-5

-5-2mn

(5+2m^2+3n^2-mn)-(4m^2+5n^2-mn)
=5+2m²+3n²-mn-4m²-5n²+mn
=5-2m²-2n²
=5-2(m²+n²)
=5-2×5
=5-10
=-5

=5+2m^2+3n^2-mn-4m^2-5n^2十mn=(2-4)m^2+(3-5)n^2+5