Question:
Expand the expression \( (2x - 3)(x + 4) \).
Expand the expression \( (2x - 3)(x + 4) \).
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Apply the distributive property (FOIL) to multiply binomials: multiply first, outer, inner, and last terms and then combine like terms.
Updated On: Oct 4, 2025
- \( 2x^2 + 8x - 3 \)
- \( 2x^2 + 5x - 12 \)
- \( 2x^2 - 5x - 12 \)
- \( 2x^2 + 12x - 3 \)
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The Correct Option is B
Solution and Explanation
Apply the distributive property (also known as FOIL for binomials) to multiply each term in the first binomial by each term in the second binomial:
\[
(2x - 3)(x + 4) = 2x \cdot x + 2x \cdot 4 - 3 \cdot x - 3 \cdot 4.
\]
Calculate each product:
\[
= 2x^2 + 8x - 3x - 12.
\]
Combine like terms:
\[
= 2x^2 + (8x - 3x) - 12 = 2x^2 + 5x - 12.
\]
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