1Cademy - Multiplying $$(x + 8)(x + 9)$$ Using the Distributive Property

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Multiplying a Binomial by a Binomial Using the Distributive Property

Example

Multiplying $(x + 8)(x + 9)$ Using the Distributive Property

Multiply $(x + 8)(x + 9)$ by applying the Distributive Property twice. First, treat $(x + 9)$ as a single unit and distribute it to each term of the first binomial: $x(x + 9) + 8(x + 9)$ . Next, distribute again within each product: multiply $x$ by each term in $(x + 9)$ to get $x^2 + 9x$ , and multiply $8$ by each term in $(x + 9)$ to get $8x + 72$ . Combining these gives four terms: $x^2 + 9x + 8x + 72$ . Finally, combine the like terms $9x$ and $8x$ to obtain the simplified trinomial: $x^2 + 17x + 72$ .

Updated 2026-04-29

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OpenStax Intermediate Algebra

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