Visualize and calculate the distributive property: a(b + c) = ab + ac.
Last updated: March 2026 | By ForgeCalc Engineering
The distributive property is a fundamental algebraic property that allows you to multiply a single term by two or more terms inside a set of parentheses. It states that a(b + c) = ab + ac.
Essentially, the "a" is distributed to both "b" and "c" through multiplication. This property is crucial for simplifying algebraic expressions and solving equations.
This also works for subtraction: a(b - c) = ab - ac.
Simplify 3(4 + 5):
1. Distribute 3 to 4: 3 * 4 = 12
2. Distribute 3 to 5: 3 * 5 = 15
3. Add the results: 12 + 15 = 27
Final Answer: 27
Yes! $a(b + c + d) = ab + ac + ad$. You distribute the multiplier to every term inside the parentheses.
Absolutely. For example, $x(x + 2) = x^2 + 2x$. This is a key part of expanding polynomials.
Factoring! Factoring involves taking a common term out of an expression, essentially reversing the distribution.
Because you are 'distributing' the multiplication across the addition or subtraction inside the parentheses.
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