Factor 20q–5r–45s.

Write your answer as a product with a whole number greater than 1.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To factor the expression \(20q - 5r - 45s\), we start by identifying the greatest common factor (GCF) of the coefficients 20, -5, and -45.

The factors of each coefficient are:

  • 20: \(1, 2, 4, 5, 10, 20\)
  • -5: \(1, 5\)
  • -45: \(1, 3, 5, 9, 15, 45\)

The GCF of 20, 5, and 45 is 5.

Now, we can factor out 5 from the expression:

\[ 20q - 5r - 45s = 5(4q - r - 9s) \]

Thus, the factored form of the expression is:

\[ 5(4q - r - 9s) \]

This is the answer as a product with a whole number greater than 1.