Rewriting Expressions Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Rewrite x2−25x^2 - 25 in factored form.

Solution

  1. 1
    Recognize as a difference of squares: x2−52x^2 - 5^2.
  2. 2
    Apply the pattern: a2−b2=(a+b)(a−b)a^2 - b^2 = (a+b)(a-b).
  3. 3
    Result: (x+5)(x−5)(x+5)(x-5).

Answer

(x+5)(x−5)(x+5)(x-5)
Rewriting an expression means transforming it into an equivalent form. The difference of squares pattern is one of the most useful rewriting tools in algebra.

About Rewriting Expressions

Transforming an algebraic expression into a different but mathematically equivalent form to reveal new information.

Learn more about Rewriting Expressions →

More Rewriting Expressions Examples

Example 2 medium

Rewrite [formula] in simplified form.

Example 3 easy

Rewrite [formula] in expanded form.

Example 4 medium

Rewrite [formula] in factored form.

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