If a + 2b = 27 and $a^3 + 8b^3 = 5427$, then find the value of 2ab.

176 156 172 149

176

Given, a + 2b = 27 a3 + 8b3 = 5427 We know that,  (A + B)3 = A3 + B3 + 3AB(A + B) = (27)3 = 5427 + 3 × 2ab(27)  = 19683 = 5427 + 81 × 2ab = 81 × 2ab = 14256 = 2ab = 176