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Answer :
Final answer:
To find the product of two binomials, we multiply each term in the first binomial by each term in the second binomial using the distributive property.
Explanation:
To find the product of two binomials, we can use the distributive property. In this case, we multiply each term in the first binomial by each term in the second binomial:
(2x² + 3x - 1) * (3x + 5) = 2x² * 3x + 2x² * 5 + 3x * 3x + 3x * 5 - 1 * 3x - 1 * 5
Simplifying the expression gives us: 6x³ + 10x² + 9x² + 15x - 3x - 5
Combining like terms, the final product is: 6x³ + 19x² + 12x - 5
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