Distributive Property Calculator
Expression: a(b ± c)
Your Expression:
Step-by-Step Solution:
What is the Distributive Property?
The distributive property is a fundamental algebraic rule that states: a(b + c) = ab + ac and a(b - c) = ab - ac. This property allows you to multiply a number by a sum or difference by distributing the multiplication to each term inside the parentheses.
This calculator helps you apply the distributive property step-by-step, showing the original expression, the distributed form, the calculations, and the final result. It's perfect for students learning algebra and anyone needing to verify their distributive property calculations.
Key Formula:
a(b - c) = ab - ac
How It Works
Enter Values
Input a, b, c values
Choose Operation
Select + or -
Apply Property
Distribute automatically
Common Examples
Addition Examples
Subtraction Examples
Calculation Reference Table
| Original Expression | Distributive Form | Calculation | Result |
|---|---|---|---|
| 2(3 + 4) | 2×3 + 2×4 | 6 + 8 | 14 |
| 5(x + 2) | 5×x + 5×2 | 5x + 10 | 5x + 10 |
| 3(7 - 2) | 3×7 - 3×2 | 21 - 6 | 15 |
| -4(x - 3) | -4×x - (-4)×3 | -4x + 12 | -4x + 12 |
| 6(2 + 5) | 6×2 + 6×5 | 12 + 30 | 42 |
Frequently Asked Questions
What is the distributive property formula?
The distributive property states that a(b + c) = ab + ac and a(b - c) = ab - ac. You multiply the outside term by each term inside the parentheses.
How do I use this calculator?
Enter values for 'a', 'b', and 'c', select the operation (+ or -), and the calculator will show the step-by-step distributive property solution.
Can I use variables in the calculator?
This calculator works with numerical values. For algebraic expressions with variables, use the same principle: multiply the outside term by each term inside the parentheses.
What about negative numbers?
The calculator handles negative numbers correctly. Remember: negative × positive = negative, and negative × negative = positive.
Why is the distributive property important?
It's fundamental in algebra for simplifying expressions, solving equations, and factoring. It's used in mental math and advanced mathematics.