How to Calculate FOIL Method

What is FOIL Method?

The FOIL method is a mnemonic for multiplying two binomials: First, Outer, Inner, Last. It is a specific case of the distributive property. FOIL produces four terms that are then combined by collecting like terms.

Step-by-Step Guide

1(a + b)(c + d) = ac + ad + bc + bd
2First: a × c
3Outer: a × d
4Inner: b × c
5Last: b × d
6Combine like terms in the result

Worked Examples

Input

(x + 3)(x + 5)

Result

x² + 8x + 15

F: x², O: 5x, I: 3x, L: 15 → x² + 8x + 15

Input

(2x − 1)(x + 4)

Result

2x² + 7x − 4

F: 2x², O: 8x, I: −x, L: −4 → 2x² + 7x − 4

Frequently Asked Questions

What is Foil Method?

The FOIL method is a mnemonic for multiplying two binomials: First, Outer, Inner, Last. It is a specific case of the distributive property

How accurate is the Foil Method calculator?

The calculator uses the standard published formula for foil method. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Foil Method calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Foil Method calculator use?

The core formula is: (a + b)(c + d) = ac + ad + bc + bd. Each step in the calculation is shown so you can verify the result manually.

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