FOIL Calculator

Apply FOIL step by step

The calculator will multiply two binomials using the FOIL method, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Effortlessly multiply binomials with our robust FOIL Calculator. This online resource helps expand expressions, saving valuable time and reducing manual calculations.

How to Use the Foil Calculator?

  • Input

    Input the polynomial expression you wish to multiply using the FOIL method. Make sure the expression is the product of two binomials.

  • Calculation

    After you've entered your expression, click the "Calculate" button. The calculator will promptly apply the FOIL method on the entered expression.

  • Result

    The calculator will show the computed result of the multiplication. Using the FOIL technique, which signifies first, outer, inner, and last, it multiplies the respective terms together and adds up the resulting terms to deliver the final expression.

What Is the FOIL Method?

The FOIL Method is an important technique used in algebra to ease the multiplication process of two binomials. The term "FOIL" is an acronym that denotes "first, outer, inner, last," outlining the sequence in which the terms should be multiplied.

Let's illustrate this with an example.

Consider the multiplication of two binomials, $$$a + b$$$ and $$$c + d$$$. The FOIL method can be applied as follows:

  • First: Multiply the first terms in each binomial, $$$ac$$$.
  • Outer: Multiply the outermost terms in the expression, $$$ad$$$.
  • Inner: Multiply the innermost terms, $$$bc$$$.
  • Last: Finally, multiply the last terms in each binomial, $$$bd$$$.

The final answer is the sum of the resulting terms: $$$ac+ad+bc+bd$$$.

Is FOIL the same as reverse FOIL?

The terms FOIL and reverse FOIL are related but refer to two different processes in algebra.

Reverse FOIL is a method to factor quadratic expressions back into two binomials. Consider the quadratic expression $$$x^2+2x-3$$$. We want to find two binomials that will give us this expression when multiplied using the FOIL method.

We look for two numbers that add up to the coefficient of the $$$x$$$ term ($$$2$$$ in this case) and, when multiplied, give the constant term ($$$-3$$$ in this case). The numbers $$$3$$$ and $$$-1$$$ satisfy these conditions.

So the quadratic expression $$$x^2+2x-3$$$ can be factored into $$$(x+3)(x-1)$$$ using reverse FOIL. You can verify this by applying the FOIL method to $$$(x+3)(x-1)$$$; the result will be the original expression $$$x^2+2x-3$$$.

Why Choose Our Foil Calculator?

  • User-Friendly Interface

    With its intuitive design, our calculator is incredibly simple. Enter your expression and click the "Calculate" button. That's it!

  • Detailed Solutions

    The calculator doesn’t just spit out the answer. It shows the steps of the FOIL method, which makes it a great learning tool.

  • Speed and Efficiency

    Say goodbye to manual calculations and potential errors. Our calculator applies the FOIL method instantly, saving you valuable time, especially in case of complex expressions.

  • Versatility

    It's not just for polynomials; it can handle any expression as long as it is the product of binomials.


Can the FOIL Calculator handle reverse FOIL operations?

No, it will not factorize expressions into the product of binomials.

What kind of expressions can I enter in the FOIL Calculator?

Our FOIL Calculator is designed to handle the product of two binomials.

What is the FOIL Method?

FOIL is a technique in algebra used to multiply two binomials. The acronym stands for first, outer, inner, and last, which are the pairs of terms you multiply.

How do I use the FOIL Calculator?

Enter the product of binomials in the provided input field and click the "Calculate" button. The calculator will apply the FOIL method and provide the result instantly.