If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\] then \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{=?}\]

If HCF and LCM of two terms a and b are x and y respectively and \[\ma

1.	If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\] then \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{=?}\]
A.	\[{{a}^{2}}-{{b}^{2}}\]
B.	\[2{{a}^{2}}+{{b}^{2}}\]
C.	\[{{a}^{2}}+{{b}^{2}}\]
D.	\[{{a}^{2}}+2{{b}^{2}}\]
Answer» D. \[{{a}^{2}}+2{{b}^{2}}\]

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If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\] then \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{=?}\]

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