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Multiply (2x−3)(x+4)

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To multiply the expressions \( (2x - 3)(x + 4) \), you can use the distributive property (also known as the FOIL method for binomials).

Here are the steps:

  1. First: Multiply the first terms: \[ 2x \times x = 2x^2 \]

  2. Outer: Multiply the outer terms: \[ 2x \times 4 = 8x \]

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

  4. Last: Multiply the last terms: \[ -3 \times 4 = -12 \]

Now, combine all these results: \[ 2x^2 + 8x - 3x - 12 \]

Combine like terms: \[ 2x^2 + (8x - 3x) - 12 = 2x^2 + 5x - 12 \]

Thus, the final result of the multiplication is: \[ \boxed{2x^2 + 5x - 12} \]