Question

4 28y - 32

Explanation:

Step1: Find the GCD of 28 and 32

The factors of 28 are \(1, 2, 4, 7, 14, 28\), and the factors of 32 are \(1, 2, 4, 8, 16, 32\). The greatest common divisor (GCD) of 28 and 32 is 4.

Step2: Factor out the GCD

We can factor out 4 from \(28y - 32\) using the distributive property \(ab+ac = a(b + c)\) (in this case, subtraction). So, \(28y-32=4\times7y - 4\times8\).

Step3: Write the factored form

Using the distributive property in reverse, we get \(4(7y - 8)\).

Answer:

\(4(7y - 8)\)