Question

factor $42y + 7z$. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 42y and 7z

The greatest common factor (GCF) of 42 and 7 is 7, and there are no common variables between \(y\) and \(z\). So the GCF of \(42y\) and \(7z\) is 7.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 7\), \(b = 6y\) (since \(42y\div7 = 6y\)), and \(c = z\) (since \(7z\div7 = z\)). So we get \(7(6y + z)\).

Answer:

\(7(6y + z)\)