The distributive property is the reason 7 × 98 is easy mental math: 7 × (100 − 2) = 700 − 14 = 686. Multiplication distributes over addition — a(b + c) = ab + ac — and this one rule underlies nearly all of algebra's heavy lifting: expanding expressions, factoring (distributing in reverse), clearing parentheses in equations, and multiplying polynomials. FOIL is just the distributive property applied twice; combining like terms is the distributive property run backward (3x + 5x = (3+5)x). Learn it deeply once and it pays dividends for years.

The sign is the perennial troublemaker. Distributing a negative — −3(x − 4) = −3x + 12, because negative times negative is positive — trips up more students than any other single algebra move. So does "distributing" over only the first term: 4(x + 2) is 4x + 8, not 4x + 2; the multiplier must touch every term inside. This calculator checks your distribution: enter the two key values (the outside multiplier and the inside terms' values) and confirm the computed result. The expansion check is immediate — substitute a number like x = 1 into both the original and expanded forms; 4(1 + 2) = 12 and 4(1) + 8 = 12 must agree.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Using The Distributive Property Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.