\( 1 \leftarrow \begin{array}{l}\text { Find the product. } \\ (9-8 \mathrm{~m})(5+6 \mathrm{~m})\end{array} \quad \begin{array}{l}(9-8 \mathrm{~m})(5+6 \mathrm{~m})=\square \text { (Simplify your answer.) }\end{array} \)
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To find the product of \( (9-8m)(5+6m) \), you can use the distributive property, also known as the FOIL method for binomials. First, multiply the first terms: \( 9 \times 5 = 45 \). Next, the outer terms: \( 9 \times 6m = 54m \). Then, the inner terms: \( -8m \times 5 = -40m \). Lastly, the last terms: \( -8m \times 6m = -48m^2 \). Now combine all these results: \[ 45 + 54m - 40m - 48m^2. \] Combine like terms: \[ 45 + (54m - 40m) - 48m^2 = 45 + 14m - 48m^2. \] Thus, the final simplified answer is: \[ -48m^2 + 14m + 45. \]
