Math Problem Statement
factorise 4x au carre - 5
Solution
To factorize the quadratic expression , we recognize that it fits the form of a difference of squares:
Here:
- , so
- , so
Using the difference of squares formula, we factor it as:
This is the factorized form.
Would you like more details on the difference of squares or any other part of the solution?
Related Questions:
- How can you identify a difference of squares in a quadratic expression?
- What if the expression was ? How would that be factorized?
- What is the importance of recognizing patterns in factoring polynomials?
- How do you apply factoring techniques to solve quadratic equations?
- Can you explain the general steps for factoring trinomials?
Tip: Always look for common factors before applying other factoring methods like difference of squares or trinomials.
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Math Problem Analysis
Mathematical Concepts
Algebra
Factoring
Difference of Squares
Formulas
a^2 - b^2 = (a - b)(a + b)
Theorems
Difference of Squares Theorem
Suitable Grade Level
Grades 9-11