1. What is Binomial Multiplication?

Binomial multiplication is the process of multiplying two binomial expressions together. A binomial is a polynomial with two terms, typically written in the form (a + b). When multiplying two binomials, we use the distributive property (also known as the FOIL method) to expand the product.

2. How Does FOIL Method Work?

The FOIL method stands for:

Where:

• First - Multiply the first terms in each binomial (a × c)
• Outer - Multiply the outer terms (a × d)
• Inner - Multiply the inner terms (b × c)
• Last - Multiply the last terms in each binomial (b × d)

Example: (x + 3)(x + 2) = x² + 2x + 3x + 6 = x² + 5x + 6

3. Step-by-Step Calculation

Details: Our calculator shows each step of the FOIL method:

1. Multiply the First terms (a × c)
2. Multiply the Outer terms (a × d)
3. Multiply the Inner terms (b × c)
4. Multiply the Last terms (b × d)
5. Combine all terms
6. Combine like terms if possible

4. Using the Calculator

Tips: Enter the coefficients for each term in the binomials. The calculator will show the expanded form and final result. Works with positive and negative numbers, fractions, and decimals.

5. Frequently Asked Questions (FAQ)

Q1: What if my binomials have subtraction?
A: Treat subtraction as adding a negative number. (x - 3) is the same as (x + (-3)).

Q2: Can I multiply binomials with variables?
A: This calculator works with numerical coefficients. For variables, the process is the same but requires algebraic manipulation.

Q3: What's the difference between FOIL and distributive property?
A: FOIL is a specific case of the distributive property for multiplying two binomials.

Q4: How do I multiply more than two binomials?
A: Multiply two at a time, then multiply the result with the next binomial.

Q5: What about multiplying a binomial and trinomial?
A: Use the distributive property to multiply each term in the binomial by each term in the trinomial.