Question

factor the expression completely. 35 + 45x

Explanation:

Step1: Find the GCF of 35 and 45

The factors of 35 are \(1, 5, 7, 35\), and the factors of 45 are \(1, 3, 5, 9, 15, 45\). The greatest common factor (GCF) is 5.

Step2: Factor out the GCF

Using the distributive property \(ab + ac = a(b + c)\), where \(a = 5\), \(b = 7\) (since \(35\div5 = 7\)), and \(c = 9x\) (since \(45x\div5 = 9x\)). So, \(35 + 45x = 5(7 + 9x)\).

Answer:

\(5(7 + 9x)\)