Using Special Products Part 1 Flashcards

Perfect Square Trinomials

• Represents the square of a binomial expression.

Perfect Square Formula

• Formula: ((a+b)^2 = a^2 + 2ab + b^2)

Example 1

• Squaring the binomial ((2x - 4y^2)) results in:
  • ((2x - 4y^2)^2 = 4x^2 - 16xy^2 + 16y^4)

Example 2

• Multiplying ((2x + 3)(2x + 3)) using the perfect square formula:
  • Identify it as ((a + b)(a + b)) with (a = 2x) and (b = 3).
  • Calculation yields:
    • ((2x)^2 + 2(2x)(3) + (3)^2 = 4x^2 + 12x + 9)

Difference of Two Perfect Squares

• Involves the multiplication of a binomial sum and the difference of the same terms.
• Formula: ((a + b)(a - b) = a^2 - b^2)

Example 3

• Multiplying ((x - 4)(x + 4)) demonstrates the difference of two squares:
  • Calculation leads to:
    • ((x + 4)(x - 4) = x^2 - 4^2 = x^2 - 16)