If (a + b) = 12 and ab = 14, then (a2 + b2) = ?
From the formula,
(a + b)2 = a2 + b2 + 2ab
We get,
= a+ b = 12 and ab = 14
By putting values, we get,
122 = a2 + b2 + 2× 14
= a2 + b2 = 144 – 28 = 116.