已知{m}^{2}+{n}^{2}=10,mn=3,求(m+n{)}^{2},(m-n{)}^{2}的值已知m^2+n^2=10,mn=3,求(m+n)^2,(m-n)^2的值

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已知{m}^{2}+{n}^{2}=10,mn=3,求(m+n{)}^{2},(m-n{)}^{2}的值已知m^2+n^2=10,mn=3,求(m+n)^2,(m-n)^2的值
已知{m}^{2}+{n}^{2}=10,mn=3,求(m+n{)}^{2},(m-n{)}^{2}的值
已知m^2+n^2=10,mn=3,求(m+n)^2,(m-n)^2的值

已知{m}^{2}+{n}^{2}=10,mn=3,求(m+n{)}^{2},(m-n{)}^{2}的值已知m^2+n^2=10,mn=3,求(m+n)^2,(m-n)^2的值
已知m^2+n^2=10,mn=3,2mn=6,-2mn=-6.
∴m^2+n^2+2mn=10+6=16,(m+n)²=16
m^2+n^2-2mn=10-6=4,(m-n)²=4.