Key Concepts:
- Expressions can be expanded using Distributive Property: (a(b + c) = ab + ac).
- Expressions can be multiplied using the FOIL method: multiply the First terms, then the Outside terms, then the Inside terms, then the Last terms.
- Common terms can be factored out by reversing distributive property.
Skills Covered:
- Expanding expressions using multiplication.
- Using the FOIL method to multiply expressions.
- Rewriting expressions in factored form.
Example Problems:
- Expand: (5(x + 2)); Solution: (5x + 10)
- Expand: ((x+3)(3x+1)); Solution: (3x^2 + 10x + 3)
- Factor: (4x + 12); Solution: ((x + 3))