Math Problem Statement

(x - 3)(x - 2)

Solution

The image contains the mathematical expression:

(x3)(x2)(x - 3)(x - 2)

Would you like me to expand this expression or solve for any specific value of xx? Let me know how you’d like to proceed!


Here’s the expanded form of the expression:

(x3)(x2)=x22x3x+6=x25x+6(x - 3)(x - 2) = x^2 - 2x - 3x + 6 = x^2 - 5x + 6


Do you want further clarification or have any related questions? Let me know!

Related Questions:

  1. How do you factorize quadratic expressions like x25x+6x^2 - 5x + 6?
  2. What are the roots of the equation (x3)(x2)=0(x - 3)(x - 2) = 0?
  3. How can this expression be visualized graphically?
  4. What happens if the signs in the parentheses are changed?
  5. How can you apply this expression to real-world problems?

Tip:

When expanding binomials, always remember to multiply each term in the first parenthesis by each term in the second!

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Expanding Binomials

Formulas

(a - b)(a - c) = a^2 - (b + c)a + bc

Theorems

Distributive Property

Suitable Grade Level

Grades 7-9