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Use the FOIL method to find the following​ product:

left parenthesis 3 x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis
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Part 1
left parenthesis 3 x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis ​=
  
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To use the FOIL method to find the product of \((3x - 5)(x + 6)\), we follow these steps:

  1. First: Multiply the first terms in each binomial: \[ 3x \cdot x = 3x^2 \]

  2. Outer: Multiply the outer terms in the product: \[ 3x \cdot 6 = 18x \]

  3. Inner: Multiply the inner terms: \[ -5 \cdot x = -5x \]

  4. Last: Multiply the last terms in each binomial: \[ -5 \cdot 6 = -30 \]

Now, combine all the results: \[ 3x^2 + 18x - 5x - 30 \]

Now, combine like terms (the terms with \(x\)): \[ 3x^2 + (18x - 5x) - 30 = 3x^2 + 13x - 30 \]

Thus, the final result is: \[ (3x - 5)(x + 6) = 3x^2 + 13x - 30 \]