Multiplying Binomials Calculator
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FOIL Method
The FOIL method stands for:
- First: Multiply the first terms
- Outer: Multiply the outer terms
- Inner: Multiply the inner terms
- Last: Multiply the last terms
(ax + b)(cx + d) = acx² + (ad + bc)x + bd
Example Problems
Example 1: (x + 2)(x + 3)
Using FOIL method:
- First: x × x = x²
- Outer: x × 3 = 3x
- Inner: 2 × x = 2x
- Last: 2 × 3 = 6
Result: x² + 5x + 6
Example 2: (2x - 1)(3x + 4)
Using FOIL method:
- First: 2x × 3x = 6x²
- Outer: 2x × 4 = 8x
- Inner: -1 × 3x = -3x
- Last: -1 × 4 = -4
Result: 6x² + 5x - 4
Common Patterns
| Pattern | Formula |
|---|---|
| Square of a Sum | (a + b)² = a² + 2ab + b² |
| Square of a Difference | (a - b)² = a² - 2ab + b² |
| Difference of Squares | (a + b)(a - b) = a² - b² |
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