Factor 45t–63u–27.

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 \( 45t - 63u - 27 \), we first identify the greatest common factor (GCF) of the coefficients 45, 63, and 27.

The factors of each number are:

  • \( 45 = 3^2 \times 5 \)
  • \( 63 = 3^2 \times 7 \)
  • \( 27 = 3^3 \)

The GCF of these numbers is \( 9 \) (which is \( 3^2 \)).

Now we can factor out \( 9 \) from the entire expression:

\[ 45t - 63u - 27 = 9(5t - 7u - 3) \]

Thus, the answer as a product with a whole number greater than 1 is:

\[ \boxed{9(5t - 7u - 3)} \]