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Multiplying Binomials with Fractional Coemcle

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Question
Express the product of (x − 3) and (x + ³);
Answer Attempt 1 out of 2
as a trinomial in simplest form.
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Final answer:

To multiply binomials with fractional coefficients, use the FOIL method and combine like terms to simplify the expression.


Step-by-step explanation:

To multiply the binomials (x - 3) and (x + ³), you can use the FOIL method. FOIL stands for First, Outer, Inner, Last. First, multiply the first terms of both binomials, which is x * x = x². Next, multiply the outer terms, which is x * ³ = 3x. Then, multiply the inner terms, which is -3 * x = -3x. Finally, multiply the last terms, which is -3 * ³ = -9.

Combine the results to form a trinomial. The result is x² + 3x - 3x - 9, which simplifies to x² - 9.


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