Question

1. 81y + 54

Explanation:

Step1: Find GCD of 81 and 54

The greatest common divisor (GCD) of 81 and 54. Prime factors of 81: \(81 = 3^4\), prime factors of 54: \(54 = 2\times3^3\). So GCD is \(3^3 = 27\).

Step2: Factor out GCD

Factor out 27 from \(81y + 54\). \(81y\div27 = 3y\), \(54\div27 = 2\). So it becomes \(27(3y + 2)\).

Answer:

\(27(3y + 2)\)