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Multiplying Binomials Calculator.

Expand two linear binomials and combine like terms.

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Set your values

Results update as you type.

Result: xSquared: 8.00000000 · x: 22.00000000 · constant: 15.00000000

Result

xSquared: 8.00000000 · x: 22.00000000 · constant: 15.00000000

Use Cases

Check algebra homework

Quickly verify your manual expansion of two linear binomials. Enter the coefficients and constants to see the simplified result.

Example: For (2x + 3)(x - 5), enter 2, 3, 1, -5 to get 2x² - 7x - 15.

Simplify expressions for math problems

When working on equations or functions, use the calculator to expand binomial products and combine like terms, saving time and reducing errors.

Example: Expand (x + 4)(x - 4) to get x² - 16.

Frequently Asked Questions

How do I use the Multiplying Binomials Calculator?
Enter the coefficients and constants for two linear binomials in the fields provided. The calculator will multiply them using the distributive property (FOIL) and combine like terms to give you the simplified quadratic expression.
What does the calculator output?
It outputs the expanded and simplified form of the product of the two binomials, typically a quadratic expression in the form ax² + bx + c, with like terms combined.
Can I use this calculator for binomials with negative numbers?
Yes, you can enter negative coefficients and constants. The calculator handles them correctly and will produce the simplified expression with appropriate signs.

Tips & Common Mistakes

Tips

  • Double-check that you enter the coefficients and constants in the correct order for each binomial.
  • Remember that a missing x term means the coefficient is 1, so enter 1 for the x coefficient.
  • Use the calculator to practice the FOIL method: multiply First, Outer, Inner, Last, then combine like terms.
  • If you have a binomial like (x + 2), the coefficient of x is 1, so enter 1 for the x coefficient.

Common Mistakes to Avoid

  • Entering the constant term as the x coefficient and vice versa, which swaps the terms and gives a wrong result.
  • Forgetting to include a coefficient of 1 for x when the binomial is written without a number before x.
  • Misreading negative signs: ensure you enter the sign of each term correctly, especially when subtracting.

Last updated: August 13, 2026