Factor 
\[99-45f+36b\] to identify the equivalent expressions.

We want to factor the expression \( 99 - 45f + 36b \). To do this, let's follow the factoring process step by step.

1. **Check for a common factor**: First, we check if there is any common factor among the terms 99, -45f, and 36b. The greatest common factor (GCF) of 99, 45, and 36 is 9.

   Factor out the GCF of 9:
   \[
   99 - 45f + 36b = 9(11 - 5f + 4b)
   \]

2. **Final expression**: Now that we've factored out the GCF, the expression is factored as:
   \[
   9(11 - 5f + 4b)
   \]

This is the fully factored form of the given expression.

Would you like further explanation on any part of the process?

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Here are 5 related questions to practice:

1. Factor \( 81 - 27x + 18y \).
2. Factor \( 75 - 30z + 15w \).
3. Factor \( 100 - 25k + 50p \).
4. Find the greatest common factor of \( 60, 36, 12 \).
5. Simplify the expression \( 12m + 24n \).

**Tip**: Always check for the greatest common factor (GCF) before attempting other factoring techniques. It simplifies the process!

Factor [99 - 45f + 36b] to identify the equivalent expressions.

Learn how to factor the algebraic expression 99 - 45f + 36b by identifying the greatest common factor (GCF). This detailed solution walks through each step, making it accessible for students in Grades 6-8.

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