Example

Multiplying (3c+4)(5c2)(3c + 4)(5c - 2) Using the Distributive Property

Multiply (3c+4)(5c2)(3c + 4)(5c - 2) by applying the Distributive Property twice. First, treat (5c2)(5c - 2) as a single unit and distribute it to both terms in the first binomial: 3c(5c2)+4(5c2)3c(5c - 2) + 4(5c - 2). Second, distribute again: multiply 3c3c by each term in (5c2)(5c - 2) to get 15c26c15c^2 - 6c, and multiply 44 by each term in (5c2)(5c - 2) to get 20c820c - 8. Writing these together produces four terms: 15c26c+20c815c^2 - 6c + 20c - 8. Finally, combine the like terms 6c-6c and 20c20c to get 14c14c, resulting in the final polynomial: 15c2+14c815c^2 + 14c - 8.

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Updated 2026-04-29

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