Foil
Result
First (ac)8
Outer (ad)10
Inner (bc)12
Last (bd)15
Result (acx² + (ad+bc)x + bd)8x² + 22x + 15
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Foil — free online calculator.
Formula
FOIL: (ax+b)(cx+d) → First(ac), Outer(ad), Inner(bc), Last(bd); Result = acx² + (ad+bc)x + bd
- Foil calculates its result from Bd, Acx, X, Ad, Bc. It uses the formula FOIL: (ax+b)(cx+d) → First(ac), Outer(ad), Inner(bc), Last(bd); Result = acx² + (ad+bc)x + bd. Change any input to recalculate the result instantly.
- The main inputs are Coefficient a, Constant b, Coefficient c, Constant d. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Foil
Inputs
- Coefficient a: 2 first binomial
- Constant b: 3 first binomial
- Coefficient c: 4 second binomial
- Constant d: 5 second binomial
Using Bd = 2, Acx = 3, X = 4, Ad = 5, Bc = 6, the calculated result is 55.
Sample result: Calculating…
Frequently asked questions
What does the Foil calculate?
Foil — free online calculator.
Which values should I enter?
Enter Coefficient a, Constant b, Coefficient c, Constant d using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: FOIL: (ax+b)(cx+d) → First(ac), Outer(ad), Inner(bc), Last(bd); Result = acx² + (ad+bc)x + bd.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.