$$ p $$parse the expression $$ 4x^2-9y^2+6y-1 $$

The given expression is:

\[
4x^2 - 9y^2 + 6y - 1
\]

To parse it, let's break it down term by term:

1. $ 4x^2 $ is a quadratic term in $x$.
2. $ -9y^2 $ is a quadratic term in $y$, with a negative coefficient.
3. $ +6y $ is a linear term in $y$.
4. $ -1 $ is a constant term.

This expression represents a combination of quadratic terms in $x$ and $y$, a linear term in $y$, and a constant. 

Would you like to further simplify or factor this expression? Feel free to ask questions!

### Related Questions:
1. How do you factor expressions with both $x$ and $y$?
2. What is the significance of quadratic terms in algebraic expressions?
3. How do you complete the square for expressions like this one?
4. Can this expression be represented as a conic section?
5. How does this expression change if additional terms are added?

**Tip:** Always group like terms when simplifying or factoring expressions to avoid mistakes.

Parse the expression 4x^2 - 9y^2 + 6y - 1

Learn how to parse the algebraic expression 4x^2 - 9y^2 + 6y - 1 by breaking down each term and understanding its components. Explore quadratic and linear terms and learn how to categorize different parts of an expression. Ideal for students in Grades 8-10.

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