POLQ 2 | Lesson 1 | Making Connections (Factoring with Symbols)

Factoring with Symbols

Identify each expression below as one of the following special factoring patterns:

  • Difference of squares
  • Perfect square trinomial
  • Difference of cubes
  • Sum of cubes

Factor each expression.

  1. \( 9\#^2-4!^2 \)
  2. \( @^2+6@+9 \)
  3. \( \sin^2 \beta -\cos^2\beta\)
  4. \( \Delta^3+\Theta^3 \)
  5. \( (a-3)^2-8(a-3)+16 \)
  6. \( 1-\cos^2 \theta \)
  7. \( 8\Omega^3-125\Psi^3 \)
  8. \( (x+1)^2-8(x+1)+16 \)

Check solutions here.

Go to Lesson 2: Completing the Square to Solve Quadratic Equations