Math Problem Statement

(1 - √3)(1 + √3) = ...

Solution

The expression (13)(1+3)(1 - \sqrt{3})(1 + \sqrt{3}) simplifies to 2-2.

Thus, the correct answer is e. -2.

Would you like further details on how this was solved, or have any other questions?

Here are some related questions to explore:

  1. What is the general formula for (ab)(a+b)(a - b)(a + b)?
  2. How do you simplify expressions with square roots?
  3. How can you apply the difference of squares to other algebraic expressions?
  4. What are some examples where simplifying radicals is useful?
  5. How would this expression change if both terms had negative signs?

Tip: The difference of squares formula, (ab)(a+b)=a2b2(a - b)(a + b) = a^2 - b^2, can help simplify many expressions efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Radicals
Difference of Squares

Formulas

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

Theorems

Difference of Squares

Suitable Grade Level

Grades 8-10