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Multiply: (ax + b)(cx + d)
Top (Width):
x +
Side (Height)
x
+
x²
2x
3x
6
Total Area (Sum)
x² + 5x + 6
How to Use This Calculator
1
Enter Values
Fill in the required fields with your numbers.
2
Calculate
Click calculate or see results update in real time.
3
Read Results
View detailed breakdowns and explanations below.
📘 How It Works
Imagine a rectangle with width cx + d and height ax + b. The area of the entire rectangle is the product of these dimensions.
Area = Width × Height
Area = Sum of four inner small rectangles
Area = Sum of four inner small rectangles
🧠 Why use rectangles?
- Visualization: It makes abstract algebra concrete (Area).
- Organization: It prevents missing terms, similar to a grid or spreadsheet.
- Versatile: It works for polynomial multiplication of any size (e.g., trinomial × binomial), not just FOIL.
✅ Key Takeaways
- The diagonal terms (Top-Right and Bottom-Left) are usually "like terms" and can be added together.
- The Top-Left is the highest degree term.
- The Bottom-Right is the constant term.
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