FOIL Method Calculator
How It Works
This foil method calculator uses established formulas to provide accurate results.
The basic rule:
- (ax + b)(cx + d) = acx² + adx + bcx + bd
- FOIL = First, Outer, Inner, Last
- Combine like terms (Outer + Inner) for the middle term
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What does FOIL stand for?
FOIL stands for First, Outer, Inner, Last. It is a mnemonic for the order in which you multiply terms when expanding two binomials. First: first terms of each binomial, Outer: outermost terms, Inner: innermost terms, Last: last terms.
Does FOIL only work for binomials?
Yes, FOIL is specifically for multiplying two binomials (two-term expressions). For multiplying polynomials with more terms, use the distributive property — multiply each term in the first polynomial by every term in the second.
How do I check my FOIL result?
Substitute a simple value like x = 1 into both the original binomials and your expanded result. Both should give the same number. For example, (2+3)(4-1) = 5·3 = 15, and 8+(-2)+12+(-3) = 15.