𝐷𝑖𝑣𝑖𝑑𝑒 45𝑎 + 12 𝑏𝑦 3

To divide \( 45a + 12 \) by 3, we can distribute the division across each term in the expression:

\[
\frac{45a + 12}{3} = \frac{45a}{3} + \frac{12}{3}
\]

Now, divide each term:

\[
\frac{45a}{3} = 15a \quad \text{and} \quad \frac{12}{3} = 4
\]

So, the result is:

\[
15a + 4
\]

Would you like more details on any specific part?

Here are five related questions to consider:
1. How do you factor an expression like \( 45a + 12 \)?
2. What are the steps to simplify expressions involving variables?
3. How do you distribute division across terms in more complex expressions?
4. Can this method of dividing work for polynomials with higher degrees?
5. What is the importance of factoring before dividing an algebraic expression?

**Tip:** Always simplify expressions term by term when dividing by a constant.

Learn how to divide the algebraic expression 45a + 12 by 3 step-by-step. This problem demonstrates how to apply the distributive property of division over addition to simplify expressions. Ideal for students in Grades 6-8.

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