FOIL Method Calculator - Multiply Binomials
Result:
Welcome to our FOIL Method Calculator. This tool multiplies two binomials using the FOIL technique (First, Outer, Inner, Last), providing step-by-step solutions.
What is the FOIL Method?
The FOIL method is a technique for multiplying two binomials by multiplying First terms, Outer terms, Inner terms, and Last terms, then combining like terms.
Understanding FOIL
FOIL stands for:
- First: Multiply the first terms in each binomial
- Outer: Multiply the outer terms
- Inner: Multiply the inner terms
- Last: Multiply the last terms in each binomial
FOIL Steps
Step 1: First terms → ax × cx = acx²
Step 2: Outer terms → ax × d = adx
Step 3: Inner terms → b × cx = bcx
Step 4: Last terms → b × d = bd
Step 5: Combine like terms
Example
(2x + 3)(x + 4)
First: 2x × x = 2x²
Outer: 2x × 4 = 8x
Inner: 3 × x = 3x
Last: 3 × 4 = 12
Result: 2x² + 11x + 12
Applications of FOIL
- Polynomial multiplication: Expanding algebraic expressions
- Quadratic equations: Creating standard form equations
- Factoring verification: Checking factored forms
- Advanced algebra: Foundation for higher-order polynomials
Common FOIL Patterns
Perfect Square
(x + a)² = x² + 2ax + a²
Special case of FOILDifference of Squares
(x + a)(x - a) = x² - a²
Middle terms cancelGeneral Form
(ax + b)(cx + d)
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