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m2-n2=4+mn-n2=1,m2-2mn+n2=?
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m2-mn=4①,mn-n2=-14②,由 ①+②得,m2-mn+mn-n2=m2-n2=4+(-14)=-10 ; ①×2+② 得,2(m2-mn)+mn-n2=2m2-2mn+mn-n2=2m2-mn-n2=2×4+(-14)=-6 .故m2-n2=-10 ;2m2-mn-n2=-6 . 故答案为:-10;-6.
咨询记录 · 回答于2022-10-29
m2-n2=4+mn-n2=1,m2-2mn+n2=?
亲,您好很高兴为您回答这个问题哦~
,m2-n2=4+mn-n2=1,m2-2mn+n2=?
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m2-mn=4①,mn-n2=-14②,由 ①+②得,m2-mn+mn-n2=m2-n2=4+(-14)=-10 ; ①×2+② 得,2(m2-mn)+mn-n2=2m2-2mn+mn-n2=2m2-mn-n2=2×4+(-14)=-6 .故m2-n2=-10 ;2m2-mn-n2=-6 . 故答案为:-10;-6.
相关拓展:(M2+N2+M2-N2)(M2+N2-M2+N2)=4M2N2=2(MN)