If \( a, b \in R \) such that \( a+b=1 \) and \( (1-2 a b)\left(a^{3}+\mathrm{b}^{3}\right)=12 \...

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If \( a, b \in R \) such that \( a+b=1 \) and \( (1-2 a b)\left(a^{3}+\mathrm{b}^{3}\right)=12 \).
The value of \( \left(a^{2}+b^{2}\right) \) is equal
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