\(All you need is factoring and substitution...\)

Algebra Level 3

Given that \(a+b = 1\) for which, \(a\) and\( b\) are real numbers and \((a^{2} + b^{2})(a^{3} + b^{3}) = 12\) , then, what is the value of \(a^{2} + b^{2}\)?

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