Factorize the given expression: 27x³ - 63x²+ 49x - 343/27

Compare the given expression to the standard cubic algebraic identity to factorise (a - b)3 = a3 - 3a2b + 3ab2 - b3 Compare 27x3 - 63x2 + 49x - 34327 to a3 - 3a2b + 3ab2 - b3 We can deduce that 27x3 = a3 or (3x)3 = a3 ∴ a = 3x And 34327 = b3 or [73]3 = b3 ∴ b = 73 So, 27x3 - 63x2 + 49x - 34327