Multiplying Binomials Calculator (FOIL)

Multiply two binomials (ax + b)(cx + d) using the FOIL method and get the expanded trinomial with step-by-step product terms.

Frequently Asked Questions

Does FOIL work for trinomial times binomial?

No - FOIL only names 4 products, but trinomial-by-binomial has 6. Use the distributive property and combine like terms.

Is FOIL the same as the box method?

Yes, they produce identical results. The box (or area) method visualizes the four products in a 2x2 grid; FOIL names them in order.

What about (a + b)^3?

Apply binomial expansion: a^3 + 3a^2 b + 3ab^2 + b^3. Or square first then multiply by (a + b) again.

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Estimates for informational purposes only.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.

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