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Polynomials are expressions that consist of variables and coefficients, and they can have many forms. Factoring polynomials means breaking down a complex polynomial into simpler polynomials that, when multiplied together, give you the original polynomial.
One important technique for factoring polynomials is recognizing special patterns, such as the difference of squares. In the given problem, we want to factor the polynomial: By identifying the correct form and applying the appropriate formulas, students can simplify and solve polynomial expressions easily.

Algebraic expressions are combinations of numbers, variables, and operations (such as addition, subtraction, multiplication, division, and exponentiation). These expressions are the foundation of algebra and are crucial for solving equations.
To factor an algebraic expression, you first need to understand its structure. Here’s how you can factor the expression given in the exercise, which is: The key is to look for common factors and specific patterns, like the difference of squares, which will simplify the process.
Remember, practice is essential. The more you work with different types of algebraic expressions, the more comfortable you'll become with spotting these patterns and applying the correct methods.

Algebraic identities are equations that are true for all values of the variables within them. These identities provide shortcuts for simplifying and factoring expressions. One of the most common algebraic identities is the difference of squares, which states:
Let’s apply this identity to the given exercise: Given:
Recognize that this is a difference of squares where .

Rewriting, we have:
Using the difference of squares formula, we can factor this as follows:

Thus, the factored form of is .
Understanding and applying algebraic identities can save time and simplify complex problems. These identities are powerful tools in algebra that help you transform expressions into more manageable forms.