Distributive Property Calculator
How It Works
This distributive property calculator uses established formulas to provide accurate results.
The basic rule:
- a(b + c) = ab + ac
- a(b - c) = ab - ac
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is the distributive property?
The distributive property states that a(b + c) = ab + ac. It means you multiply the outside factor by each term inside the parentheses. For example, 3(4 + 5) = 3×4 + 3×5 = 12 + 15 = 27.
Does the distributive property work with subtraction?
Yes. a(b - c) = ab - ac. The same rule applies: multiply the outside factor by each term inside. For example, 5(x - 3) = 5x - 15.
Why is the distributive property important in algebra?
It allows you to remove parentheses from expressions, which is often the first step in solving equations. It is also used in reverse (factoring) to simplify expressions.
Can you distribute a negative number?
Yes. Be careful with signs. For example, -2(3 + 4) = -2×3 + (-2)×4 = -6 + (-8) = -14. A negative times a positive is negative.