Factor the binomal 9b squared by 2 -12b suqared by 3

The given binomial expression is:

\[ 9b^2 \cdot 2 - 12b^2 \cdot 3 \]

To simplify and factor this, let's first multiply the constants:

\[
18b^2 - 36b^2
\]

Now, we can combine like terms:

\[
-18b^2
\]

Since this is just a single term, the only "factor" is \(-18b^2\) itself. There's nothing more to factor out, as it's a monomial.

### Final Answer:
\[
-18b^2
\]

Would you like more details or have any further questions?

Here are some related questions you might consider:
1. How do you factor trinomials?
2. What is the difference between factoring and simplifying expressions?
3. How do you factor quadratic binomials?
4. What are common mistakes when combining like terms?
5. How do you solve binomial equations?

**Tip:** Always check if you can factor out a common term before simplifying binomials or polynomials.

Factor the binomial 9b squared by 2 - 12b squared by 3

This guide provides a step-by-step solution for factoring the binomial 9b^2 by 2 - 12b^2 by 3. Explore key algebra concepts like factoring binomials, combining like terms, and applying the distributive property. Ideal for students in Grades 8-10.

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