ALEGEBRA IDENTITIES

Algebra Identities

Difference of Squares

• a2 - b2 = (a-b)(a+b)

• Difference of Cubes

  • a3 - b3 = (a - b)(a2+ ab + b2)

  • Sum of Cubes

    • a3 + b3 = (a + b)(a2 - ab + b2)

    • Special Algebra Expansions

    • Formula for (a+b)2 and (a-b)2

      • (a + b)2 = a2 + 2ab + b2
      • (a - b)2 = a2 - 2ab +b2

      • Formula for (a+b)3 and (a-b)3

        • (a + b)3 = a3 + 3a2b + 3ab2 + b3
        • (a - b)3 = a3 - 3a2b + 3ab2 - b3

        • Roots of Quadratic Equation

        • Formula

          Consider this quadratic equation:

          • ax2 + bx + c = 0

          Where a, b and c are the leading coefficients.

          The roots for this quadratic equation will be:

          •