Math Problem Statement

Factorise 2a^2 - 9ab + 10b^2

Solution

The factorized form of the given expression 2a29ab+10b22a^2 - 9ab + 10b^2 is:

(a2b)(2a5b)(a - 2b)(2a - 5b)

Would you like more details on how this factorization was done, or do you have any further questions?

Here are five related questions you might find interesting:

  1. How do you identify a quadratic trinomial that can be factorized?
  2. What are the methods for factorizing quadratic expressions with different coefficients?
  3. How can you check if a factorization is correct?
  4. Can all quadratic trinomials be factorized neatly?
  5. How does factorization relate to solving quadratic equations?

Tip: Always verify your factorization by expanding the factors back to the original expression!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Factoring

Formulas

Factoring ax^2 + bx + c

Theorems

Factoring Trinomials
Distributive Property

Suitable Grade Level

Grades 8-10