FOIL Calculator

Multiply binomials using the FOIL method with step-by-step algebraic solutions

🔢 FOIL Calculator

(2x + 3) × (x - 5)

First Binomial: (a₁x + b₁)

Coefficient (a₁)

Variable

Constant (b₁)

Second Binomial: (a₂x + b₂)

Coefficient (a₂)

Constant (b₂)

Quick Examples:

Formula

(ax + b)(cx + d) = acx² + (ad + bc)x + bd

Where:

F =First terms: ax × cx = acx²
O =Outer terms: ax × d = adx
I =Inner terms: b × cx = bcx
L =Last terms: b × d = bd
Result =Combine: acx² + (ad + bc)x + bd

About FOIL Method

The FOIL method is a systematic way to multiply two binomials by multiplying the First, Outer, Inner, and Last terms, then combining like terms.

FOIL Steps:

• First: Multiply the first terms of each binomial
• Outer: Multiply the outer terms (first × second)
• Inner: Multiply the inner terms (second × first)
• Last: Multiply the last terms of each binomial
• Combine: Add all products and combine like terms

Special Cases:

• Perfect Square: (a + b)² = a² + 2ab + b²
• Difference of Squares: (a + b)(a - b) = a² - b²
• Sum and Difference: (a + b)(c + d) = ac + ad + bc + bd

Applications:

• Algebra: Expanding polynomial expressions
• Geometry: Area calculations for rectangles
• Physics: Quadratic equations in motion
• Economics: Revenue and cost functions

Tips for Success:

• Always maintain the order: F-O-I-L
• Watch for sign changes (+ and -)
• Combine like terms carefully
• Check your work by substituting values

Tips

Enter the dimensions in the same unit for consistency.
Results update automatically as you type.
Use the unit selector to convert between different measurement systems.

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FOIL Calculator

🔢 FOIL Calculator

Formula

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About FOIL Method

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FOIL Calculator

🔢 FOIL Calculator

Formula

Where:

About FOIL Method

FOIL Steps:

Special Cases:

Applications:

Tips for Success:

Tips