Math Problem Statement

4☓²-9

Solution

The expression you've provided is 4x294x^2 - 9. This is a quadratic expression and can be factored using the difference of squares method.

Solution:

The expression can be rewritten as: 4x29=(2x)2324x^2 - 9 = (2x)^2 - 3^2 Using the difference of squares formula, a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b), we get: 4x29=(2x3)(2x+3)4x^2 - 9 = (2x - 3)(2x + 3)

So, the factorized form of 4x294x^2 - 9 is (2x3)(2x+3)(2x - 3)(2x + 3).

Would you like more details or have any questions?

Related Questions:

  1. How do you factorize a quadratic expression that doesn't use the difference of squares?
  2. Can you provide an example where the difference of squares method doesn't apply?
  3. How do you solve the equation 4x29=04x^2 - 9 = 0?
  4. What are some real-life applications of factoring quadratic expressions?
  5. How do you expand the expression (2x3)(2x+3)(2x - 3)(2x + 3) back to 4x294x^2 - 9?

Tip: When dealing with quadratic expressions, always check if it can be factored using simple identities like the difference of squares before trying more complex methods.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Difference of Squares

Formulas

Difference of squares formula: a^2 - b^2 = (a - b)(a + b)

Theorems

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Suitable Grade Level

Grades 9-12