Question

factor $40x - 90y$. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find GCD of 40 and 90

The factors of 40 are \(1, 2, 4, 5, 8, 10, 20, 40\), and factors of 90 are \(1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90\). The greatest common divisor (GCD) of 40 and 90 is 10.

Step2: Factor out GCD

Using the distributive property \(ab - ac = a(b - c)\), where \(a = 10\), \(b = 4x\), and \(c = 9y\), we factor out 10 from \(40x - 90y\):
\(40x - 90y=10(4x - 9y)\)

Answer:

\(10(4x - 9y)\)