Question

factor 14y + 21. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 14 and 21

The factors of 14 are \(1, 2, 7, 14\), and the factors of 21 are \(1, 3, 7, 21\). The greatest common factor (GCF) of 14 and 21 is 7.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 7\), \(b = 2y\), and \(c = 3\) (since \(14y\div7 = 2y\) and \(21\div7 = 3\)), we get:
\(14y + 21 = 7(2y + 3)\)

Answer:

\(7(2y + 3)\)