Example

Multiplying (5x+9)(4x+3)(5x + 9)(4x + 3) Using the Distributive Property

Multiply (5x+9)(4x+3)(5x + 9)(4x + 3) by applying the Distributive Property twice. Treat (4x+3)(4x + 3) as a single unit and distribute it across the first binomial: 5x(4x+3)+9(4x+3)5x(4x + 3) + 9(4x + 3). Next, perform the second round of distribution: multiply 5x5x by each term in (4x+3)(4x + 3) to obtain 20x2+15x20x^2 + 15x, and multiply 99 by each term in (4x+3)(4x + 3) to obtain 36x+2736x + 27. This gives the four-term expression: 20x2+15x+36x+2720x^2 + 15x + 36x + 27. Combine the like terms 15x15x and 36x36x to reach the simplified trinomial: 20x2+51x+2720x^2 + 51x + 27.

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Updated 2026-04-29

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