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FOIL Calculator

Math
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This calculator multiplies two binomials using the First, Outer, Inner, Last (FOIL) method, providing the expanded form of the product.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Coefficient of the first term in the first binomial (a), Constant term in the first binomial (b), Coefficient of the first term in the second binomial (c), and Constant term in the second binomial (d) in the units shown.

Step 2

Read Last Term (bd), Inner Term (bcx), Outer Term (adx), First Term (acx²), Coefficient of x (ad + bc), and Expanded Form (acx² + (ad + bc)x + bd) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Coefficient of the first term in the first binomial (a): 2; Constant term in the first binomial (b): 3; Coefficient of the first term in the second binomial (c): 4; Constant term in the second binomial (d): 5

Last Term (bd): 15; Inner Term (bcx): 12; Outer Term (adx): 10; First Term (acx²): 8; Coefficient of x (ad + bc): 22; Expanded Form (acx² + (ad + bc)x + bd): 8x² + 22x + 15

Example 2

Coefficient of the first term in the first binomial (a): 1; Constant term in the first binomial (b): 2; Coefficient of the first term in the second binomial (c): 3; Constant term in the second binomial (d): 4

Last Term (bd): 8; Inner Term (bcx): 6; Outer Term (adx): 4; First Term (acx²): 3; Coefficient of x (ad + bc): 10; Expanded Form (acx² + (ad + bc)x + bd): 3x² + 10x + 8

Example 3

Coefficient of the first term in the first binomial (a): 5; Constant term in the first binomial (b): -2; Coefficient of the first term in the second binomial (c): 2; Constant term in the second binomial (d): 1

Last Term (bd): -2; Inner Term (bcx): -4; Outer Term (adx): 5; First Term (acx²): 10; Coefficient of x (ad + bc): 1; Expanded Form (acx² + (ad + bc)x + bd): 10x² + 1x + -2

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