Algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating these symbols. In this section, we will explore some of the most important algebraic formulas.

Basic Formulas

  • Square of a Sum: ((a + b)^2 = a^2 + 2ab + b^2)
  • Square of a Difference: ((a - b)^2 = a^2 - 2ab + b^2)
  • Difference of Squares: (a^2 - b^2 = (a + b)(a - b))
  • Quadratic Formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a})

Useful Links

For more in-depth learning, check out our Algebra Basics guide.

Graphical Representation

To better understand these formulas, you can visualize them using graphs. Here's an example of the quadratic formula in action:

Quadratic Formula Graph

By studying these graphs, you can see how the quadratic formula works in real-world scenarios.