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The given polynomial \( 9a^2 + 4b(b - 3a) - 49 \) can be completely factored as:

\[
(3a - 2b - 7)(3a - 2b + 7)
\]

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Here are some related questions:
1. What is the general method for factoring quadratic expressions?
2. How do you recognize differences of squares in polynomials?
3. Can this factoring method apply to higher-degree polynomials?
4. How do you check if a factored expression is correct?
5. What are some real-life applications of factoring polynomials?

**Tip:** Always simplify any inner terms before attempting to factor complex polynomials.

Completely factor the following polynomial: 9a^2 + 4b(b - 3a) - 49

Learn how to completely factor the polynomial 9a^2 + 4b(b - 3a) - 49. This problem involves algebraic concepts such as difference of squares and factoring quadratic expressions. Perfect for students in Grades 9-12.

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