Advanced FOIL Calculator

The FOIL Acronym

• First: Multiply the first terms in each binomial.
• Outer: Multiply the outermost terms.
• Inner: Multiply the innermost terms.
• Last: Multiply the last terms in each binomial.

Finally, add all four products together and combine like terms to get the final simplified expression.

Linear Binomials: \( (ax + b)(cx + d) \)

Result: \( acx^2 + (ad+bc)x + bd \)

General Binomials: \( (ax^n + b)(cx^m + d) \)

F: \( (ax^n)(cx^m) = acx^{n+m} \)

O: \( (ax^n)(d) = adx^n \)

I: \( (b)(cx^m) = bcx^m \)

L: \( (b)(d) = bd \)