Question

he expression completely. 16x + 56

Explanation:

Step1: Find the GCD of 16 and 56

The factors of 16 are \(1, 2, 4, 8, 16\) and the factors of 56 are \(1, 2, 4, 7, 8, 14, 28, 56\). The greatest common divisor (GCD) of 16 and 56 is 8.

Step2: Factor out the GCD

We can factor out 8 from the expression \(16x + 56\). Using the distributive property \(ab+ac = a(b + c)\), where \(a = 8\), \(b = 2x\) (since \(8\times2x=16x\)) and \(c = 7\) (since \(8\times7 = 56\)). So, \(16x+56=8(2x + 7)\).

Answer:

\(8(2x + 7)\)