FOIL Method Calculator
This calculator uses the FOIL method to expand the product of two binomials:
First, Outer, Inner, Last. It’s a fast and reliable tool for algebra students and teachers looking to simplify expressions of the form $$(a + b)(c + d)$$.
Expand Binomials Using the FOIL Method
FOIL Expansion Formula
$$(a + b)(c + d) = ac + ad + bc + bd$$
Explanation:
- First: $$a \cdot c$$
- Outer: $$a \cdot d$$
- Inner: $$b \cdot c$$
- Last: $$b \cdot d$$
Then combine like terms.
FOIL Method – Calculation Example
Expand: (x + 3)(x + 2)
First: x × x = x²
Outer: x × 2 = 2x
Inner: 3 × x = 3x
Last: 3 × 2 = 6
Combine: x² + 2x + 3x + 6 = x² + 5x + 6
The FOIL method is a mnemonic device used in algebra to multiply two binomials. It’s foundational for expanding quadratic expressions and factoring. This calculator shows each step clearly, making it ideal for learning, practice, or checking homework.