Binomial Multiplication Calculator

About the Binomial Multiplication Calculator

The binomial multiplication calculator multiplies two binomials. A binomial has the general form (ax ± b), where a is the coefficient of x, b is the constant term, and ± is either a plus (+) or minus (-). The calculator automatically expands (a₁x ± b₁)(a₂x ± b₂) and shows detailed steps to help you understand the process.

How to Use the Binomial Multiplication Calculator?

1. Enter the two binomials in the two input boxes.
2. Click the "Calculate" button. The calculator expands and computes the result for you.

Usage Example

Enter the binomials: for the first binomial, set the coefficient of x (e.g., 2), choose + or -, and the constant term (e.g., 3), giving 2x + 3; for the second binomial, set the coefficient of x (e.g., 4), choose + or -, and the constant term (e.g., 5), giving 4x - 5.

1. Click the "Calculate" button.
2. The calculator automatically expands: (2x + 3)(4x - 5) = 8x² - 10x + 12x - 15 = 8x² + 2x - 15.
3. It also shows the detailed steps.

Step-by-Step Display

The calculator shows step by step:

• Original expression: (2x + 3)(4x - 5)
• Expand using the FOIL method: First, Outer, Inner, Last
• First: 2x × 4x = 8x²
• Outer: 2x × (-5) = -10x
• Inner: 3 × 4x = 12x
• Last: 3 × (-5) = -15
• Combine like terms: 8x² - 10x + 12x - 15 = 8x² + 2x - 15