Math Problem Statement

ppparse the expression 4x29y2+6y14x^2-9y^2+6y-1

Solution

The given expression is:

4x29y2+6y14x^2 - 9y^2 + 6y - 1

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

  1. 4x24x^2 is a quadratic term in xx.
  2. 9y2-9y^2 is a quadratic term in yy, with a negative coefficient.
  3. +6y+6y is a linear term in yy.
  4. 1-1 is a constant term.

This expression represents a combination of quadratic terms in xx and yy, a linear term in yy, 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 xx and yy?
  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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Quadratic Expressions

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10