Question

factor 30d - 35. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find GCF of 30 and 35

The factors of 30 are \(1, 2, 3, 5, 6, 10, 15, 30\), and factors of 35 are \(1, 5, 7, 35\). The greatest common factor (GCF) is 5.

Step2: Factor out GCF

Using the distributive property \(ab + ac=a(b + c)\), factor out 5 from \(30d-35\):
\(30d-35 = 5(6d - 7)\)

Answer:

\(5(6d - 7)\)