If a + b = 6, a - b = 2, then the value of 2(a2 + b2) is
30
40
10
20
B.
40
a + b = 6 ...(i)
a - b = 2 ...(ii)
From Eq.s (i) and (ii), we get,
∴ (a + b)2 + (a - b)2 = (6)2 + (2)2
⟹ a2 + b2 + 2ab + a2 + b2 - 2ab = 40
⟹ 2(a2 + b2) = 40