Binomial Multiplication Calculator

Equation 1: x
Equation 2: x

Binomial Multiplication Calculator Overview

The binomial multiplication calculator is a tool designed to compute the product of two binomials. A binomial typically takes the form (ax ± b), where:

  • a is the coefficient of x
  • b is the constant term
  • ± denotes either addition (+) or subtraction (-)

This calculator automatically expands expressions of the form (a₁x ± b₁)(a₂x ± b₂) and provides detailed step-by-step calculations to help users understand the process of binomial multiplication.

How to Use the Binomial Multiplication Calculator

  1. Enter the binomials: Input the two binomials into the two input fields of the calculator.
  2. Click the "Calculate" button: The calculator will automatically expand and compute the result.
  3. View the calculation result.

Example of Binomial Multiplication Calculator Usage

Enter the binomials into the two input fields of the calculator:
First binomial: Coefficient of x (e.g., 2), choose + or -, constant term (e.g., 3)
Example: 2x + 3
Second binomial: Coefficient of x (e.g., 4), choose + or -, constant term (e.g., 5)
Example: 4x - 5
Click the "Calculate" button.
The calculator will automatically expand and compute:
(2x + 3)(4x - 5) = 8x² - 10x + 12x - 15 = 8x² + 2x - 15
and display detailed calculation steps.
The calculator shows step-by-step as follows:
Original expression: (2x + 3)(4x - 5)
Expand using the FOIL method (First, Outer, Inner, Last):
First (first terms multiplied): 2x × 4x = 8x²
Outer (outer terms multiplied): 2x × (-5) = -10x
Inner (inner terms multiplied): 3 × 4x = 12x
Last (last terms multiplied): 3 × (-5) = -15
Combine like terms: 8x² - 10x + 12x - 15 = 8x² + 2x - 15