Question

factor 21b - 35c.
write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find GCD of 21 and 35

The factors of 21 are \(1, 3, 7, 21\), and factors of 35 are \(1, 5, 7, 35\). The greatest common divisor (GCD) is \(7\).

Step2: Factor out GCD

Using the distributive property \(ab - ac = a(b - c)\), factor out \(7\) from \(21b - 35c\):
\(21b - 35c = 7(3b - 5c)\)

Answer:

\(7(3b - 5c)\)