Factor 36b+16c.
Write your answer as a product with a whole number greater than 1.

To factor \( 36b + 16c \), we can first look for the greatest common factor (GCF) of both terms.

1. The GCF of 36 and 16 is 4.
2. Both terms have no common variables.

So, we can factor out 4 from both terms:

\[
36b + 16c = 4(9b + 4c)
\]

Thus, the factored form is:

\[
4(9b + 4c)
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen understanding:
1. How do you find the greatest common factor (GCF) of two numbers?
2. What is factoring, and why is it useful in algebra?
3. Can you factor an expression like \( 9b + 4c \) any further?
4. How would you factor a trinomial such as \( 36b + 16c + 8 \)?
5. What happens if there are variables in both terms, like \( 36bx + 16cx \)?

**Tip:** Always start by factoring out the greatest common factor before trying other factoring techniques.

Factor 36b + 16c. Write your answer as a product with a whole number greater than 1.

Learn how to factor the algebraic expression 36b + 16c by finding the greatest common factor (GCF). This step-by-step solution explains how to use the GCF and apply the distributive property. Suitable for students in Grades 6-8.

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