FOIL Calculator — Multiply Two Binomials Step by Step (Free)

Use this free FOIL calculator to multiply two binomials. Enter the coefficients of (ax + b)(cx + d) and you’ll get the expanded trinomial — with the First, Outer, Inner, Last products shown and the like terms combined.

How to use the FOIL calculator

1. Enter the four coefficients of (ax + b)(cx + d).
2. Press Calculate.
3. Read the product and the F-O-I-L breakdown.

What FOIL means

FOIL stands for First, Outer, Inner, Last — the four products you add when multiplying two binomials: (ax + b)(cx + d) = ac·x² + (ad + bc)·x + bd. Combining the Outer and Inner terms gives the middle term.

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Frequently asked questions

What does FOIL stand for?

First, Outer, Inner, Last — the order in which you multiply the terms of two binomials before combining like terms.

How do you multiply (x + 3)(x − 2)?

First x·x = x², Outer x·(−2) = −2x, Inner 3·x = 3x, Last 3·(−2) = −6, which combine to x² + x − 6.

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Does it combine like terms?

Yes — the Outer and Inner products are added to give a single middle term in the final trinomial.

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Read the full lesson: learn the method step by step.

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