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The result is \( 40x^2 + 21x - 27 \).
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To multiply the expressions \( (8x + 9)(5x - 3) \), you can use the distributive property, often referred to as the FOIL method for binomials. First, multiply the first terms: \( 8x \cdot 5x = 40x^2 \). Next, multiply the outer terms: \( 8x \cdot -3 = -24x \). Then, multiply the inner terms: \( 9 \cdot 5x = 45x \). Finally, multiply the last terms: \( 9 \cdot -3 = -27 \). Now, combine all these results: \( 40x^2 + (-24x + 45x) - 27 = 40x^2 + 21x - 27 \). So, the final result is: \( 40x^2 + 21x - 27 \).
