ReadyCalculator
MathPhysicsFinanceConstructionBiologyChemistryConversionEcologyEveryday LifeFoodHealthSportsStatisticsOther

📐 Multiplying Binomials Calculator

Multiply binomials using FOIL method

(a + b)(c + d)

First Binomial

Second Binomial

How to Use This Calculator

1

Enter First Binomial

Type values a and b for the first binomial (a + b).

2

Enter Second Binomial

Type values c and d for the second binomial (c + d).

3

Click Multiply

See the result using the FOIL method breakdown.

4

Review FOIL Steps

See each FOIL term (First, Outer, Inner, Last) calculated.

FOIL Method Formula

(a + b)(c + d) = ac + ad + bc + bd

FOIL: First + Outer + Inner + Last

Example 1: Multiply (2 + 3)(1 + 4)

F

O

I

L

Sum: 2 + 8 + 3 + 12 = 25

Example 2: Multiply (x + 2)(x + 3)

F: x × x = x²

O: x × 3 = 3x

I: 2 × x = 2x

L: 2 × 3 = 6

Result: x² + 5x + 6

About Multiplying Binomials Calculator

The Multiplying Binomials Calculator uses the FOIL method to multiply two binomials. FOIL stands for First, Outer, Inner, Last - representing the four products you need to calculate when multiplying (a+b)(c+d). This method ensures you don't miss any terms and helps you understand the distributive property in action.

When to Use This Calculator

  • Algebra Homework: Multiply binomials correctly
  • Factoring Preparation: Understand reverse of factoring
  • Polynomial Multiplication: Learn distributive property
  • Test Preparation: Verify FOIL calculations

Why Use Our Calculator?

  • ✅ Shows All Steps: Displays each FOIL term
  • ✅ Educational: Learn the method clearly
  • ✅ Instant Results: Fast calculation
  • ✅ Free Tool: No registration

Understanding FOIL

  • First: Multiply first terms of each binomial
  • Outer: Multiply outer terms
  • Inner: Multiply inner terms
  • Last: Multiply last terms
  • Add all four products together

Tips for Success

  • Remember the FOIL order to avoid missing terms
  • Watch signs carefully, especially with negative values
  • Combine like terms at the end
  • Double-check all four products

Frequently Asked Questions

What does FOIL stand for?

First, Outer, Inner, Last - the four multiplications when expanding (a+b)(c+d).

Is FOIL the same as the distributive property?

Yes! FOIL is a specific application of the distributive property to two binomials.

Does FOIL work with polynomials?

FOIL is specifically for two binomials. For longer polynomials, use the distributive property.