1.

Factorize the given expression \[~\mathbf{mn}({{\mathbf{u}}^{\mathbf{2}}}+{{\mathbf{v}}^{\mathbf{2}}})-\mathbf{uv}\left( {{\mathbf{m}}^{\mathbf{2}}}+{{\mathbf{n}}^{\mathbf{2}}} \right)\]

A. \[\left( un+vm \right)\left( um-vn \right)\]
B. \[\left( un+vm \right)\left( um+vn \right)\]
C. \[\left( un-vm \right)\left( um-vn \right)\]
D. \[\left( un-vm \right)\left( um+vn \right)\]
Answer» D. \[\left( un-vm \right)\left( um+vn \right)\]


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